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3002442320 = 245194371647
BaseRepresentation
bin1011001011110101…
…1010001001010000
321202020121212120102
42302331122021100
522122111123240
61213532431532
7134255224103
oct26275321120
97666555512
103002442320
111300889399
126b96185a8
1338b05b0b7
14206a8073a
151288c7815
hexb2f5a250

3002442320 has 160 divisors (see below), whose sum is σ = 7636654080. Its totient is φ = 1093962240.

The previous prime is 3002442307. The next prime is 3002442329. The reversal of 3002442320 is 232442003.

It is a super-3 number, since 3×30024423203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3002442292 and 3002442301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3002442329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4640237 + ... + 4640883.

It is an arithmetic number, because the mean of its divisors is an integer number (47729088).

Almost surely, 23002442320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3002442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3818327040).

3002442320 is an abundant number, since it is smaller than the sum of its proper divisors (4634211760).

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

3002442320 is a wasteful number, since it uses less digits than its factorization.

3002442320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 3002442320 is about 54794.5464439665. The cubic root of 3002442320 is about 1442.6408458100.

Adding to 3002442320 its reverse (232442003), we get a palindrome (3234884323).

The spelling of 3002442320 in words is "three billion, two million, four hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 43 71 76 80 86 95 142 152 172 190 215 284 304 344 355 380 430 568 647 688 710 760 817 860 1136 1294 1349 1420 1520 1634 1720 2588 2698 2840 3053 3235 3268 3440 4085 5176 5396 5680 6106 6470 6536 6745 8170 10352 10792 12212 12293 12940 13072 13490 15265 16340 21584 24424 24586 25880 26980 27821 30530 32680 45937 48848 49172 51760 53960 55642 58007 61060 61465 65360 91874 98344 107920 111284 116014 122120 122930 139105 183748 196688 222568 229685 232028 244240 245860 278210 290035 367496 445136 459370 464056 491720 528599 556420 580070 734992 872803 918740 928112 983440 1057198 1112840 1160140 1745606 1837480 1975291 2114396 2225680 2320280 2642995 3491212 3674960 3950582 4228792 4364015 4640560 5285990 6982424 7901164 8457584 8728030 9876455 10571980 13964848 15802328 17456060 19752910 21143960 31604656 34912120 37530529 39505820 42287920 69824240 75061058 79011640 150122116 158023280 187652645 300244232 375305290 600488464 750610580 1501221160 3002442320