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314261304 = 23372267229
BaseRepresentation
bin10010101110110…
…011111100111000
3210220100010110120
4102232303330320
51120422330204
651103413240
710534114500
oct2256637470
9726303416
10314261304
11151435195
12892b4220
1350152146
142da46a00
151c8c96d9
hex12bb3f38

314261304 has 48 divisors (see below), whose sum is σ = 913926600. Its totient is φ = 89788608.

The previous prime is 314261281. The next prime is 314261309. The reversal of 314261304 is 403162413.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314261309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132439 + ... + 134790.

Almost surely, 2314261304 is an apocalyptic number.

It is an amenable number.

314261304 is an abundant number, since it is smaller than the sum of its proper divisors (599665296).

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

314261304 is a wasteful number, since it uses less digits than its factorization.

314261304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267252 (or 267241 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 314261304 is about 17727.4167322822. The cubic root of 314261304 is about 679.8769269767.

It can be divided in two parts, 3142 and 61304, that added together give a palindrome (64446).

The spelling of 314261304 in words is "three hundred fourteen million, two hundred sixty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 267229 534458 801687 1068916 1603374 1870603 2137832 3206748 3741206 5611809 6413496 7482412 11223618 13094221 14964824 22447236 26188442 39282663 44894472 52376884 78565326 104753768 157130652 314261304