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314266460 = 225197311329
BaseRepresentation
bin10010101110110…
…101001101011100
3210220100101112112
4102232311031130
51120423011320
651103453152
710534135514
oct2256651534
9726311475
10314266460
11151439052
12892b71b8
13501545b1
142da48844
151c8caec5
hex12bb535c

314266460 has 48 divisors (see below), whose sum is σ = 704272800. Its totient is φ = 117448704.

The previous prime is 314266427. The next prime is 314266523. The reversal of 314266460 is 64662413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22076 + ... + 33404.

It is an arithmetic number, because the mean of its divisors is an integer number (14672350).

Almost surely, 2314266460 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 314266460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352136400).

314266460 is an abundant number, since it is smaller than the sum of its proper divisors (390006340).

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

314266460 is a wasteful number, since it uses less digits than its factorization.

314266460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11430 (or 11428 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 314266460 is about 17727.5621561454. The cubic root of 314266460 is about 679.8806451418.

The spelling of 314266460 in words is "three hundred fourteen million, two hundred sixty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 73 76 95 146 190 292 365 380 730 1387 1460 2774 5548 6935 11329 13870 22658 27740 45316 56645 113290 215251 226580 430502 827017 861004 1076255 1654034 2152510 3308068 4135085 4305020 8270170 15713323 16540340 31426646 62853292 78566615 157133230 314266460