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314716376 = 231317237283
BaseRepresentation
bin10010110000100…
…011000011011000
3210221012020201002
4102300203003120
51121031411001
651121244132
710541021312
oct2260430330
9727166632
10314716376
11151716087
1289493648
1350281310
142db247b2
151c96946b
hex12c230d8

314716376 has 96 divisors (see below), whose sum is σ = 695760240. Its totient is φ = 132544512.

The previous prime is 314716373. The next prime is 314716387. The reversal of 314716376 is 673617413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314716373) 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 23 ways as a sum of consecutive naturals, for example, 1111931 + ... + 1112213.

Almost surely, 2314716376 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 314716376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347880120).

314716376 is an abundant number, since it is smaller than the sum of its proper divisors (381043864).

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

314716376 is a wasteful number, since it uses less digits than its factorization.

314716376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 352 counting only the distinct ones).

The product of its digits is 63504, while the sum is 38.

The square root of 314716376 is about 17740.2473488957. The cubic root of 314716376 is about 680.2049382296.

The spelling of 314716376 in words is "three hundred fourteen million, seven hundred sixteen thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 17 26 34 37 52 68 74 104 136 148 221 283 289 296 442 481 566 578 629 884 962 1132 1156 1258 1768 1924 2264 2312 2516 3679 3757 3848 4811 5032 7358 7514 8177 9622 10471 10693 14716 15028 16354 19244 20942 21386 29432 30056 32708 38488 41884 42772 62543 65416 81787 83768 85544 125086 136123 139009 163574 178007 250172 272246 278018 327148 356014 500344 544492 556036 654296 712028 1063231 1088984 1112072 1424056 2126462 2314091 3026119 4252924 4628182 6052238 8505848 9256364 12104476 18512728 24208952 39339547 78679094 157358188 314716376