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323042112 = 2632560837
BaseRepresentation
bin10011010000010…
…011101101000000
3211111212020110200
4103100103231000
51130144321422
652015525200
711001545511
oct2320235500
9744766420
10323042112
11156392358
1290229800
1351c07aa3
1430c90a08
151d5612ac
hex13413b40

323042112 has 42 divisors (see below), whose sum is σ = 925943538. Its totient is φ = 107680512.

The previous prime is 323042089. The next prime is 323042149. The reversal of 323042112 is 211240323.

323042112 is a `hidden beast` number, since 3 + 230 + 421 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 189778176 + 133263936 = 13776^2 + 11544^2 .

It is a super-2 number, since 2×3230421122 = 208712412250841088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 279843 + ... + 280994.

Almost surely, 2323042112 is an apocalyptic number.

323042112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

323042112 is an abundant number, since it is smaller than the sum of its proper divisors (602901426).

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

323042112 is a wasteful number, since it uses less digits than its factorization.

323042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560855 (or 560842 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 323042112 is about 17973.3723046066. The cubic root of 323042112 is about 686.1510205918.

Adding to 323042112 its reverse (211240323), we get a palindrome (534282435).

The spelling of 323042112 in words is "three hundred twenty-three million, forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 560837 1121674 1682511 2243348 3365022 4486696 5047533 6730044 8973392 10095066 13460088 17946784 20190132 26920176 35893568 40380264 53840352 80760528 107680704 161521056 323042112