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314300928 = 293204623
BaseRepresentation
bin10010101110111…
…101101000000000
3210220102010211010
4102232331220000
51120430112203
651104320520
710534341144
oct2256755000
9726363733
10314300928
11151461a37
1289313140
13501671a6
142da57224
151c8d6303
hex12bbda00

314300928 has 40 divisors (see below), whose sum is σ = 837321408. Its totient is φ = 104766464.

The previous prime is 314300893. The next prime is 314300929. The reversal of 314300928 is 829003413.

It is a super-2 number, since 2×3143009282 = 197570146683322368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 314300895 and 314300904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314300929) 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 3 ways as a sum of consecutive naturals, for example, 100776 + ... + 103847.

Almost surely, 2314300928 is an apocalyptic number.

It is an amenable number.

314300928 is an abundant number, since it is smaller than the sum of its proper divisors (523020480).

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

314300928 is an equidigital number, since it uses as much as digits as its factorization.

314300928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204644 (or 204628 counting only the distinct ones).

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

The square root of 314300928 is about 17728.5342879777. The cubic root of 314300928 is about 679.9055001321.

The spelling of 314300928 in words is "three hundred fourteen million, three hundred thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 204623 409246 613869 818492 1227738 1636984 2455476 3273968 4910952 6547936 9821904 13095872 19643808 26191744 39287616 52383488 78575232 104766976 157150464 314300928