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314749344 = 25372135147
BaseRepresentation
bin10010110000101…
…011000110100000
3210221020220221010
4102300223012200
51121033434334
651122100520
710541216400
oct2260530640
9727226833
10314749344
11151738928
12894aa740
1350293320
142db32800
151c9740e9
hex12c2b1a0

314749344 has 144 divisors (see below), whose sum is σ = 1035242208. Its totient is φ = 82994688.

The previous prime is 314749327. The next prime is 314749423. The reversal of 314749344 is 443947413.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 58579 + ... + 63725.

It is an arithmetic number, because the mean of its divisors is an integer number (7189182).

Almost surely, 2314749344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314749344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517621104).

314749344 is an abundant number, since it is smaller than the sum of its proper divisors (720492864).

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

314749344 is a wasteful number, since it uses less digits than its factorization.

314749344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5187 (or 5172 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 314749344 is about 17741.1765111562. The cubic root of 314749344 is about 680.2286889409.

The spelling of 314749344 in words is "three hundred fourteen million, seven hundred forty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 78 84 91 96 98 104 112 147 156 168 182 196 208 224 273 294 312 336 364 392 416 546 588 624 637 672 728 784 1092 1176 1248 1274 1456 1568 1911 2184 2352 2548 2912 3822 4368 4704 5096 5147 7644 8736 10192 10294 15288 15441 20384 20588 30576 30882 36029 41176 61152 61764 66911 72058 82352 108087 123528 133822 144116 164704 200733 216174 247056 252203 267644 288232 401466 432348 468377 494112 504406 535288 576464 756609 802932 864696 936754 1008812 1070576 1152928 1405131 1513218 1605864 1729392 1873508 2017624 2141152 2810262 3026436 3211728 3278639 3458784 3747016 4035248 5620524 6052872 6423456 6557278 7494032 8070496 9835917 11241048 12105744 13114556 14988064 19671834 22482096 24211488 26229112 39343668 44964192 52458224 78687336 104916448 157374672 314749344