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314531392 = 2672100297
BaseRepresentation
bin10010101111110…
…101111001000000
3210220211211221211
4102233311321000
51121010001032
651113255504
710536321100
oct2257657100
9726754854
10314531392
111515aa0aa
1289404594
1350218066
142dab7200
151c92e747
hex12bf5e40

314531392 has 42 divisors (see below), whose sum is σ = 726057222. Its totient is φ = 134797824.

The previous prime is 314531383. The next prime is 314531411. The reversal of 314531392 is 293135413.

It can be written as a sum of positive squares in only one way, i.e., 313148416 + 1382976 = 17696^2 + 1176^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 47013 + ... + 53284.

Almost surely, 2314531392 is an apocalyptic number.

314531392 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

314531392 is an abundant number, since it is smaller than the sum of its proper divisors (411525830).

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

314531392 is a wasteful number, since it uses less digits than its factorization.

314531392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100323 (or 100306 counting only the distinct ones).

The product of its digits is 9720, while the sum is 31.

The square root of 314531392 is about 17735.0329010126. The cubic root of 314531392 is about 680.0716418175.

The spelling of 314531392 in words is "three hundred fourteen million, five hundred thirty-one thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 100297 200594 401188 702079 802376 1404158 1604752 2808316 3209504 4914553 5616632 6419008 9829106 11233264 19658212 22466528 39316424 44933056 78632848 157265696 314531392