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4302442320 = 2435112956197
BaseRepresentation
bin1000000000111001…
…00000111101010000
3102002211210201022120
410000130200331100
532302411123240
61550532134240
7211422104421
oct40034407520
912084721276
104302442320
111908686660
12a00a67380
13537496077
142cb5a1648
151a2ab7ad0
hex100720f50

4302442320 has 160 divisors (see below), whose sum is σ = 15052072320. Its totient is φ = 1007032320.

The previous prime is 4302442303. The next prime is 4302442337. The reversal of 4302442320 is 232442034.

It is an interprime number because it is at equal distance from previous prime (4302442303) and next prime (4302442337).

It is a super-2 number, since 2×43024423202 = 37022019833853964800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48462 + ... + 104658.

It is an arithmetic number, because the mean of its divisors is an integer number (94075452).

Almost surely, 24302442320 is an apocalyptic number.

4302442320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4302442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7526036160).

4302442320 is an abundant number, since it is smaller than the sum of its proper divisors (10749630000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4302442320 is a wasteful number, since it uses less digits than its factorization.

4302442320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56253 (or 56247 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 4302442320 is about 65593.0051148749. The cubic root of 4302442320 is about 1626.4411445688.

Adding to 4302442320 its reverse (232442034), we get a palindrome (4534884354).

The spelling of 4302442320 in words is "four billion, three hundred two million, four hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 29 30 33 40 44 48 55 58 60 66 80 87 88 110 116 120 132 145 165 174 176 220 232 240 264 290 319 330 348 435 440 464 528 580 638 660 696 870 880 957 1160 1276 1320 1392 1595 1740 1914 2320 2552 2640 3190 3480 3828 4785 5104 6380 6960 7656 9570 12760 15312 19140 25520 38280 56197 76560 112394 168591 224788 280985 337182 449576 561970 618167 674364 842955 899152 1123940 1236334 1348728 1629713 1685910 1854501 2247880 2472668 2697456 3090835 3259426 3371820 3709002 4495760 4889139 4945336 6181670 6518852 6743640 7418004 8148565 9272505 9778278 9890672 12363340 13037704 13487280 14836008 16297130 17926843 18545010 19556556 24445695 24726680 26075408 29672016 32594260 35853686 37090020 39113112 48891390 49453360 53780529 65188520 71707372 74180040 78226224 89634215 97782780 107561058 130377040 143414744 148360080 179268430 195565560 215122116 268902645 286829488 358536860 391131120 430244232 537805290 717073720 860488464 1075610580 1434147440 2151221160 4302442320