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108438432 = 25343109241
BaseRepresentation
bin1100111011010…
…10001110100000
321120001020120020
412131222032200
5210230012212
614432113440
72454466014
oct635521640
9246036506
10108438432
1156235443
1230395880
131960966b
141058a544
1597bed8c
hex676a3a0

108438432 has 96 divisors (see below), whose sum is σ = 295162560. Its totient is φ = 34836480.

The previous prime is 108438397. The next prime is 108438437. The reversal of 108438432 is 234834801.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 108438393 and 108438402.

It is not an unprimeable number, because it can be changed into a prime (108438437) 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 15 ways as a sum of consecutive naturals, for example, 449832 + ... + 450072.

It is an arithmetic number, because the mean of its divisors is an integer number (3074610).

Almost surely, 2108438432 is an apocalyptic number.

108438432 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 108438432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147581280).

108438432 is an abundant number, since it is smaller than the sum of its proper divisors (186724128).

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

108438432 is a wasteful number, since it uses less digits than its factorization.

108438432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 108438432 is about 10413.3775500555. The cubic root of 108438432 is about 476.8638598159.

The spelling of 108438432 in words is "one hundred eight million, four hundred thirty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 109 129 172 218 241 258 327 344 436 482 516 654 688 723 872 964 1032 1308 1376 1446 1744 1928 2064 2616 2892 3488 3856 4128 4687 5232 5784 7712 9374 10363 10464 11568 14061 18748 20726 23136 26269 28122 31089 37496 41452 52538 56244 62178 74992 78807 82904 105076 112488 124356 149984 157614 165808 210152 224976 248712 315228 331616 420304 449952 497424 630456 840608 994848 1129567 1260912 2259134 2521824 3388701 4518268 6777402 9036536 13554804 18073072 27109608 36146144 54219216 108438432