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314346640 = 24519206807
BaseRepresentation
bin10010101111001…
…000110010010000
3210220111110112011
4102233020302100
51120433043030
651105312304
710534621336
oct2257106220
9726443464
10314346640
11151493313
1289335694
1350181c3a
142da69b56
151c8e4b2a
hex12bc8c90

314346640 has 40 divisors (see below), whose sum is σ = 769325760. Its totient is φ = 119120256.

The previous prime is 314346619. The next prime is 314346691. The reversal of 314346640 is 46643413.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101884 + ... + 104923.

It is an arithmetic number, because the mean of its divisors is an integer number (19233144).

Almost surely, 2314346640 is an apocalyptic number.

It is an amenable number.

314346640 is an abundant number, since it is smaller than the sum of its proper divisors (454979120).

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

314346640 is a wasteful number, since it uses less digits than its factorization.

314346640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206839 (or 206833 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The square root of 314346640 is about 17729.8234621781. The cubic root of 314346640 is about 679.9384604055.

The spelling of 314346640 in words is "three hundred fourteen million, three hundred forty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 206807 413614 827228 1034035 1654456 2068070 3308912 3929333 4136140 7858666 8272280 15717332 16544560 19646665 31434664 39293330 62869328 78586660 157173320 314346640