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314525874 = 2313172310313
BaseRepresentation
bin10010101111110…
…100100010110010
3210220211120101110
4102233310202302
51121004311444
651113214150
710536266025
oct2257644262
9726746343
10314525874
111515a5a43
1289401356
13502156b0
142dab51bc
151c92ccb9
hex12bf48b2

314525874 has 64 divisors (see below), whose sum is σ = 748548864. Its totient is φ = 87115776.

The previous prime is 314525843. The next prime is 314525881. The reversal of 314525874 is 478525413.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25342 + ... + 35654.

It is an arithmetic number, because the mean of its divisors is an integer number (11696076).

Almost surely, 2314525874 is an apocalyptic number.

314525874 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 314525874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374274432).

314525874 is an abundant number, since it is smaller than the sum of its proper divisors (434022990).

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

314525874 is a wasteful number, since it uses less digits than its factorization.

314525874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10371.

The product of its digits is 134400, while the sum is 39.

The square root of 314525874 is about 17734.8773325332. The cubic root of 314525874 is about 680.0676648353.

The spelling of 314525874 in words is "three hundred fourteen million, five hundred twenty-five thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 13 17 23 26 34 39 46 51 69 78 102 138 221 299 391 442 598 663 782 897 1173 1326 1794 2346 5083 10166 10313 15249 20626 30498 30939 61878 134069 175321 237199 268138 350642 402207 474398 525963 711597 804414 1051926 1423194 2279173 3083587 4032383 4558346 6167174 6837519 8064766 9250761 12097149 13675038 18501522 24194298 52420979 104841958 157262937 314525874