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30432674304 = 293217388489
BaseRepresentation
bin11100010101111011…
…011100001000000000
32220112220110000221100
4130111323130020000
5444311231034204
621551445454400
72125102314654
oct342573341000
986486400840
1030432674304
11119a74a66aa
125a93a11400
132b3cc069b6
141689ab6a64
15bd1ae3a39
hex715edc200

30432674304 has 120 divisors (see below), whose sum is σ = 92997513180. Its totient is φ = 9547481088.

The previous prime is 30432674299. The next prime is 30432674347. The reversal of 30432674304 is 40347623403.

It can be written as a sum of positive squares in 2 ways, for example, as 28954425600 + 1478248704 = 170160^2 + 38448^2 .

It is a super-2 number, since 2×304326743042 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115909 + ... + 272580.

Almost surely, 230432674304 is an apocalyptic number.

30432674304 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

30432674304 is an abundant number, since it is smaller than the sum of its proper divisors (62564838876).

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

30432674304 is a wasteful number, since it uses less digits than its factorization.

30432674304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388530 (or 388511 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

The spelling of 30432674304 in words is "thirty billion, four hundred thirty-two million, six hundred seventy-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1088 1152 1224 1536 1632 2176 2304 2448 3264 4352 4608 4896 6528 8704 9792 13056 19584 26112 39168 78336 388489 776978 1165467 1553956 2330934 3107912 3496401 4661868 6215824 6604313 6992802 9323736 12431648 13208626 13985604 18647472 19812939 24863296 26417252 27971208 37294944 39625878 49726592 52834504 55942416 59438817 74589888 79251756 99453184 105669008 111884832 118877634 149179776 158503512 198906368 211338016 223769664 237755268 298359552 317007024 422676032 447539328 475510536 596719104 634014048 845352064 895078656 951021072 1268028096 1690704128 1790157312 1902042144 2536056192 3381408256 3804084288 5072112384 7608168576 10144224768 15216337152 30432674304