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1097314368 = 263172271481
BaseRepresentation
bin100000101100111…
…1011000001000000
32211110210100022220
41001121323001000
54221403024433
6300515131040
736123006153
oct10131730100
92743710286
101097314368
11513450587
122675a3a80
13146450457
14a5a3dc9a
15665052b3
hex4167b040

1097314368 has 112 divisors (see below), whose sum is σ = 3089721024. Its totient is φ = 342507520.

The previous prime is 1097314349. The next prime is 1097314451. The reversal of 1097314368 is 8634137901.

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 15 ways as a sum of consecutive naturals, for example, 740188 + ... + 741668.

Almost surely, 21097314368 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 1097314368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544860512).

1097314368 is an abundant number, since it is smaller than the sum of its proper divisors (1992406656).

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

1097314368 is a wasteful number, since it uses less digits than its factorization.

1097314368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 1097314368 is about 33125.7357352256. The cubic root of 1097314368 is about 1031.4393324954.

The spelling of 1097314368 in words is "one billion, ninety-seven million, three hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 227 272 408 454 544 681 816 908 1088 1362 1481 1632 1816 2724 2962 3264 3632 3859 4443 5448 5924 7264 7718 8886 10896 11577 11848 14528 15436 17772 21792 23154 23696 25177 30872 35544 43584 46308 47392 50354 61744 71088 75531 92616 94784 100708 123488 142176 151062 185232 201416 246976 284352 302124 336187 370464 402832 604248 672374 740928 805664 1008561 1208496 1344748 1611328 2017122 2416992 2689496 4034244 4833984 5378992 5715179 8068488 10757984 11430358 16136976 17145537 21515968 22860716 32273952 34291074 45721432 64547904 68582148 91442864 137164296 182885728 274328592 365771456 548657184 1097314368