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18342432 = 253263689
BaseRepresentation
bin100010111111…
…0001000100000
31021111220002100
41011332020200
514143424212
61453050400
7311623323
oct105761040
937456070
1018342432
11a398a39
126186a00
133a52b14
1426167ba
151924bdc
hex117e220

18342432 has 36 divisors (see below), whose sum is σ = 52162110. Its totient is φ = 6114048.

The previous prime is 18342403. The next prime is 18342433. The reversal of 18342432 is 23424381.

It can be written as a sum of positive squares in only one way, i.e., 15397776 + 2944656 = 3924^2 + 1716^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 18342396 and 18342405.

It is not an unprimeable number, because it can be changed into a prime (18342433) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31557 + ... + 32132.

Almost surely, 218342432 is an apocalyptic number.

18342432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18342432 is an abundant number, since it is smaller than the sum of its proper divisors (33819678).

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

18342432 is a wasteful number, since it uses less digits than its factorization.

18342432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63705 (or 63694 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 18342432 is about 4282.8065564534. The cubic root of 18342432 is about 263.7256102272.

The spelling of 18342432 in words is "eighteen million, three hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 63689 127378 191067 254756 382134 509512 573201 764268 1019024 1146402 1528536 2038048 2292804 3057072 4585608 6114144 9171216 18342432