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314804376 = 233243101681
BaseRepresentation
bin10010110000111…
…000100010011000
3210221100201102100
4102300320202120
51121042220001
651123203400
710541536005
oct2260704230
9727321370
10314804376
11151776207
1289516560
13502b23a3
142db488ac
151c985586
hex12c38898

314804376 has 48 divisors (see below), whose sum is σ = 872431560. Its totient is φ = 102493440.

The previous prime is 314804363. The next prime is 314804377. The reversal of 314804376 is 673408413.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 314804376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314804377) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 47745 + ... + 53936.

Almost surely, 2314804376 is an apocalyptic number.

314804376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

314804376 is an abundant number, since it is smaller than the sum of its proper divisors (557627184).

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

314804376 is a wasteful number, since it uses less digits than its factorization.

314804376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101736 (or 101729 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 314804376 is about 17742.7274115340. The cubic root of 314804376 is about 680.2683312408.

The spelling of 314804376 in words is "three hundred fourteen million, eight hundred four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 3096 101681 203362 305043 406724 610086 813448 915129 1220172 1830258 2440344 3660516 4372283 7321032 8744566 13116849 17489132 26233698 34978264 39350547 52467396 78701094 104934792 157402188 314804376