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314387874 = 232232137241
BaseRepresentation
bin10010101111010…
…010110110100010
3210220120120002100
4102233102312202
51120440402444
651110231230
710535152503
oct2257226642
9726516070
10314387874
11151511299
1289355516
1350197938
142da7abaa
151c901e69
hex12bd2da2

314387874 has 72 divisors (see below), whose sum is σ = 720251532. Its totient is φ = 99095040.

The previous prime is 314387867. The next prime is 314387881. The reversal of 314387874 is 478783413.

It is an interprime number because it is at equal distance from previous prime (314387867) and next prime (314387881).

It can be written as a sum of positive squares in 2 ways, for example, as 304746849 + 9641025 = 17457^2 + 3105^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1304394 + ... + 1304634.

Almost surely, 2314387874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314387874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360125766).

314387874 is an abundant number, since it is smaller than the sum of its proper divisors (405863658).

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

314387874 is a wasteful number, since it uses less digits than its factorization.

314387874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 406 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 314387874 is about 17730.9862669847. The cubic root of 314387874 is about 679.9681891117.

The spelling of 314387874 in words is "three hundred fourteen million, three hundred eighty-seven thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 18 23 46 69 137 138 207 241 274 411 414 482 529 723 822 1058 1233 1446 1587 2169 2466 3151 3174 4338 4761 5543 6302 9453 9522 11086 16629 18906 28359 33017 33258 49887 56718 66034 72473 99051 99774 127489 144946 198102 217419 254978 297153 382467 434838 594306 652257 759391 764934 1147401 1304514 1518782 2278173 2294802 4556346 6834519 13669038 17465993 34931986 52397979 104795958 157193937 314387874