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4329416320 = 275411391187
BaseRepresentation
bin1000000100000110…
…11010011010000000
3102011201120010200121
410002003122122000
532331312310240
61553334230024
7212200301005
oct40203323200
912151503617
104329416320
11192192a619
12a09ab5314
1353cc4b908
142d0dc38ac
151a514504a
hex1020da680

4329416320 has 128 divisors (see below), whose sum is σ = 10687723200. Its totient is φ = 1675960320.

The previous prime is 4329416269. The next prime is 4329416341. The reversal of 4329416320 is 236149234.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3646767 + ... + 3647953.

Almost surely, 24329416320 is an apocalyptic number.

4329416320 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 4329416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5343861600).

4329416320 is an abundant number, since it is smaller than the sum of its proper divisors (6358306880).

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

4329416320 is a wasteful number, since it uses less digits than its factorization.

4329416320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 4329416320 is about 65798.3002819982. The cubic root of 4329416320 is about 1629.8330364569.

The spelling of 4329416320 in words is "four billion, three hundred twenty-nine million, four hundred sixteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 139 160 164 205 278 320 328 410 556 640 656 695 820 1112 1187 1312 1390 1640 2224 2374 2624 2780 3280 4448 4748 5248 5560 5699 5935 6560 8896 9496 11120 11398 11870 13120 17792 18992 22240 22796 23740 26240 28495 37984 44480 45592 47480 48667 56990 75968 88960 91184 94960 97334 113980 151936 164993 182368 189920 194668 227960 243335 329986 364736 379840 389336 455920 486670 659972 729472 759680 778672 824965 911840 973340 1319944 1557344 1649930 1823680 1946680 2639888 3114688 3299860 3647360 3893360 5279776 6229376 6599720 6764713 7786720 10559552 13199440 13529426 15573440 21119104 26398880 27058852 31146880 33823565 52797760 54117704 67647130 105595520 108235408 135294260 216470816 270588520 432941632 541177040 865883264 1082354080 2164708160 4329416320