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34580781312 = 283711584767
BaseRepresentation
bin100000001101001011…
…001101100100000000
310022020222211201000020
4200031023031210000
51031310140000222
623515230053440
72332641535260
oct401513154400
9108228751006
1034580781312
1113735a49910
12685104a280
13335141379c
1419609817a0
15d75d7265c
hex80d2cd900

34580781312 has 144 divisors (see below), whose sum is σ = 114745516032. Its totient is φ = 8982005760.

The previous prime is 34580781271. The next prime is 34580781329. The reversal of 34580781312 is 21318708543.

It is a super-2 number, since 2×345807813122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 233248 + ... + 351519.

Almost surely, 234580781312 is an apocalyptic number.

34580781312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34580781312 is an abundant number, since it is smaller than the sum of its proper divisors (80164734720).

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

34580781312 is a wasteful number, since it uses less digits than its factorization.

34580781312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584804 (or 584790 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 34580781312 in words is "thirty-four billion, five hundred eighty million, seven hundred eighty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 256 264 308 336 352 384 448 462 528 616 672 704 768 896 924 1056 1232 1344 1408 1792 1848 2112 2464 2688 2816 3696 4224 4928 5376 7392 8448 9856 14784 19712 29568 59136 584767 1169534 1754301 2339068 3508602 4093369 4678136 6432437 7017204 8186738 9356272 12280107 12864874 14034408 16373476 18712544 19297311 24560214 25729748 28068816 32746952 37425088 38594622 45027059 49120428 51459496 56137632 65493904 74850176 77189244 90054118 98240856 102918992 112275264 130987808 135081177 149700352 154378488 180108236 196481712 205837984 224550528 261975616 270162354 308756976 360216472 392963424 411675968 449101056 523951232 540324708 617513952 720432944 785926848 823351936 1047902464 1080649416 1235027904 1440865888 1571853696 1646703872 2161298832 2470055808 2881731776 3143707392 4322597664 4940111616 5763463552 8645195328 11526927104 17290390656 34580781312