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108306432 = 2133213113
BaseRepresentation
bin1100111010010…
…10000000000000
321112210112111100
412131022000000
5210211301212
614425214400
72453406123
oct635120000
9245715440
10108306432
1156155253
1230331400
1319591560
14105543ba
159795bdc
hex674a000

108306432 has 168 divisors, whose sum is σ = 339914484. Its totient is φ = 33030144.

The previous prime is 108306431. The next prime is 108306469. The reversal of 108306432 is 234603801.

It is a happy number.

108306432 is a `hidden beast` number, since 10 + 8 + 3 + 0 + 643 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81432576 + 26873856 = 9024^2 + 5184^2 .

It is a junction number, because it is equal to n+sod(n) for n = 108306396 and 108306405.

It is not an unprimeable number, because it can be changed into a prime (108306431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 958408 + ... + 958520.

Almost surely, 2108306432 is an apocalyptic number.

108306432 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 108306432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169957242).

108306432 is an abundant number, since it is smaller than the sum of its proper divisors (231608052).

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

108306432 is a wasteful number, since it uses less digits than its factorization.

108306432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 108306432 is about 10407.0376188424. The cubic root of 108306432 is about 476.6702888755.

The spelling of 108306432 in words is "one hundred eight million, three hundred six thousand, four hundred thirty-two".