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314328900 = 223521047763
BaseRepresentation
bin10010101111000…
…100011101000100
3210220110120012010
4102233010131010
51120432011100
651105054220
710534515534
oct2257043504
9726416163
10314328900
11151480a56
1289327370
1350176b42
142da634c4
151c8de750
hex12bc4744

314328900 has 36 divisors (see below), whose sum is σ = 909459152. Its totient is φ = 83820960.

The previous prime is 314328869. The next prime is 314328923. The reversal of 314328900 is 9823413.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 523582 + ... + 524181.

Almost surely, 2314328900 is an apocalyptic number.

314328900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314328900 is an abundant number, since it is smaller than the sum of its proper divisors (595130252).

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

314328900 is a wasteful number, since it uses less digits than its factorization.

314328900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047780 (or 1047773 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 314328900 is about 17729.3231681302. The cubic root of 314328900 is about 679.9256694993.

The spelling of 314328900 in words is "three hundred fourteen million, three hundred twenty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1047763 2095526 3143289 4191052 5238815 6286578 10477630 12573156 15716445 20955260 26194075 31432890 52388150 62865780 78582225 104776300 157164450 314328900