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30334735152 = 24321998311279
BaseRepresentation
bin11100010000000101…
…110101001100110000
32220022002011012200100
4130100011311030300
5444111143011102
621534030352400
72122502665041
oct342005651460
986262135610
1030334735152
1111957192557
125a6705b700
132b25835237
14167aaa08c8
15bc81e9a1c
hex710175330

30334735152 has 120 divisors (see below), whose sum is σ = 89462131200. Its totient is φ = 9568796544.

The previous prime is 30334735103. The next prime is 30334735157. The reversal of 30334735152 is 25153743303.

30334735152 is a `hidden beast` number, since 3 + 0 + 33 + 473 + 5 + 152 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30334735157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2683849 + ... + 2695127.

It is an arithmetic number, because the mean of its divisors is an integer number (745517760).

Almost surely, 230334735152 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 30334735152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44731065600).

30334735152 is an abundant number, since it is smaller than the sum of its proper divisors (59127396048).

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

30334735152 is a wasteful number, since it uses less digits than its factorization.

30334735152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12295 (or 12286 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 36.

The spelling of 30334735152 in words is "thirty billion, three hundred thirty-four million, seven hundred thirty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 983 1368 1966 2736 2949 3932 5898 7864 8847 11279 11796 15728 17694 18677 22558 23592 33837 35388 37354 45116 47184 56031 67674 70776 74708 90232 101511 112062 135348 141552 149416 168093 180464 203022 214301 224124 270696 298832 336186 406044 428602 448248 541392 642903 672372 812088 857204 896496 1285806 1344744 1624176 1714408 1928709 2571612 2689488 3428816 3857418 5143224 7714836 10286448 11087257 15429672 22174514 30859344 33261771 44349028 66523542 88698056 99785313 133047084 177396112 199570626 210657883 266094168 399141252 421315766 532188336 631973649 798282504 842631532 1263947298 1596565008 1685263064 1895920947 2527894596 3370526128 3791841894 5055789192 7583683788 10111578384 15167367576 30334735152