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314837965 = 51312773793
BaseRepresentation
bin10010110001000…
…000101111001101
3210221102102111101
4102301000233031
51121044303330
651124023101
710542035641
oct2261005715
9727372441
10314837965
11151799472
1289531a91
13502c4770
142db56c21
151c9904ca
hex12c40bcd

314837965 has 16 divisors (see below), whose sum is σ = 407293488. Its totient is φ = 232252416.

The previous prime is 314837951. The next prime is 314837969. The reversal of 314837965 is 569738413.

It can be written as a sum of positive squares in 8 ways, for example, as 38912644 + 275925321 = 6238^2 + 16611^2 .

It is a cyclic number.

It is not a de Polignac number, because 314837965 - 27 = 314837837 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314837969) 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 15 ways as a sum of consecutive naturals, for example, 81109 + ... + 84901.

It is an arithmetic number, because the mean of its divisors is an integer number (25455843).

Almost surely, 2314837965 is an apocalyptic number.

It is an amenable number.

314837965 is a deficient number, since it is larger than the sum of its proper divisors (92455523).

314837965 is a wasteful number, since it uses less digits than its factorization.

314837965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5088.

The product of its digits is 544320, while the sum is 46.

The square root of 314837965 is about 17743.6739431269. The cubic root of 314837965 is about 680.2925248058.

The spelling of 314837965 in words is "three hundred fourteen million, eight hundred thirty-seven thousand, nine hundred sixty-five".

Divisors: 1 5 13 65 1277 3793 6385 16601 18965 49309 83005 246545 4843661 24218305 62967593 314837965