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103734432 = 2534311291
BaseRepresentation
bin1100010111011…
…01110010100000
321020012020220000
412023231302200
5203024000212
614143220000
72366504514
oct613556240
9236166800
10103734432
115361223a
122a8a7600
1318650529
14dac4144
1591911dc
hex62edca0

103734432 has 120 divisors (see below), whose sum is σ = 315165312. Its totient is φ = 33436800.

The previous prime is 103734413. The next prime is 103734437. The reversal of 103734432 is 234437301.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 103734396 and 103734405.

It is not an unprimeable number, because it can be changed into a prime (103734437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 79707 + ... + 80997.

Almost surely, 2103734432 is an apocalyptic number.

103734432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103734432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157582656).

103734432 is an abundant number, since it is smaller than the sum of its proper divisors (211430880).

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

103734432 is a wasteful number, since it uses less digits than its factorization.

103734432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 103734432 is about 10185.0101619979. The cubic root of 103734432 is about 469.8663147778.

The spelling of 103734432 in words is "one hundred three million, seven hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 216 248 279 288 324 372 432 496 558 648 744 837 864 992 1116 1291 1296 1488 1674 2232 2511 2582 2592 2976 3348 3873 4464 5022 5164 6696 7746 8928 10044 10328 11619 13392 15492 20088 20656 23238 26784 30984 34857 40021 40176 41312 46476 61968 69714 80042 80352 92952 104571 120063 123936 139428 160084 185904 209142 240126 278856 320168 360189 371808 418284 480252 557712 640336 720378 836568 960504 1080567 1115424 1280672 1440756 1673136 1921008 2161134 2881512 3241701 3346272 3842016 4322268 5763024 6483402 8644536 11526048 12966804 17289072 25933608 34578144 51867216 103734432