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34631799312 = 24311374143237
BaseRepresentation
bin100000010000001101…
…110101001000010000
310022101112211200112210
4200100031311020100
51031411220034222
623524251352120
72334131302635
oct402015651020
9108345750483
1034631799312
1113761825450
126866152640
13335bb67356
14196766218c
15d7a59dd0c
hex810375210

34631799312 has 160 divisors (see below), whose sum is σ = 102683677824. Its totient is φ = 9961574400.

The previous prime is 34631799287. The next prime is 34631799341. The reversal of 34631799312 is 21399713643.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 779358 + ... + 822594.

Almost surely, 234631799312 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 34631799312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51341838912).

34631799312 is an abundant number, since it is smaller than the sum of its proper divisors (68051878512).

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

34631799312 is a wasteful number, since it uses less digits than its factorization.

34631799312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43337 (or 43331 counting only the distinct ones).

The product of its digits is 734832, while the sum is 48.

The spelling of 34631799312 in words is "thirty-four billion, six hundred thirty-one million, seven hundred ninety-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 41 44 48 66 74 82 88 111 123 132 148 164 176 222 246 264 296 328 407 444 451 492 528 592 656 814 888 902 984 1221 1353 1517 1628 1776 1804 1968 2442 2706 3034 3256 3608 4551 4884 5412 6068 6512 7216 9102 9768 10824 12136 16687 18204 19536 21648 24272 33374 36408 43237 50061 66748 72816 86474 100122 129711 133496 172948 200244 259422 266992 345896 400488 475607 518844 691792 800976 951214 1037688 1426821 1599769 1772717 1902428 2075376 2853642 3199538 3545434 3804856 4799307 5318151 5707284 6399076 7090868 7609712 9598614 10636302 11414568 12798152 14181736 17597459 19197228 19499887 21272604 22829136 25596304 28363472 35194918 38394456 38999774 42545208 52792377 58499661 65590529 70389836 76788912 77999548 85090416 105584754 116999322 131181058 140779672 155999096 196771587 211169508 233998644 262362116 281559344 311998192 393543174 422339016 467997288 524724232 721495819 787086348 844678032 935994576 1049448464 1442991638 1574172696 2164487457 2885983276 3148345392 4328974914 5771966552 8657949828 11543933104 17315899656 34631799312