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314340960 = 2535654877
BaseRepresentation
bin10010101111000…
…111011001100000
3210220111011201210
4102233013121200
51120432402320
651105230120
710534565643
oct2257073140
9726434653
10314340960
1115148a01a
1289332340
135017c48b
142da67a5a
151c8e30e0
hex12bc7660

314340960 has 48 divisors (see below), whose sum is σ = 990175536. Its totient is φ = 83824128.

The previous prime is 314340941. The next prime is 314341007. The reversal of 314340960 is 69043413.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 326959 + ... + 327918.

It is an arithmetic number, because the mean of its divisors is an integer number (20628657).

Almost surely, 2314340960 is an apocalyptic number.

314340960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314340960 is an abundant number, since it is smaller than the sum of its proper divisors (675834576).

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

314340960 is a wasteful number, since it uses less digits than its factorization.

314340960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654895 (or 654887 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 314340960 is about 17729.6632793745. The cubic root of 314340960 is about 679.9343650606.

The spelling of 314340960 in words is "three hundred fourteen million, three hundred forty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 654877 1309754 1964631 2619508 3274385 3929262 5239016 6548770 7858524 9823155 10478032 13097540 15717048 19646310 20956064 26195080 31434096 39292620 52390160 62868192 78585240 104780320 157170480 314340960