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314313048 = 23347219521
BaseRepresentation
bin10010101111000…
…000100101011000
3210220102202110000
4102233000211120
51120431004143
651104453000
710534421400
oct2257004530
9726382400
10314313048
11151470055
128931a160
135016c86a
142da5b800
151c8d9bd3
hex12bc0958

314313048 has 240 divisors, whose sum is σ = 1080070200. Its totient is φ = 84913920.

The previous prime is 314313037. The next prime is 314313071. The reversal of 314313048 is 840313413.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 603028 + ... + 603548.

Almost surely, 2314313048 is an apocalyptic number.

314313048 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314313048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540035100).

314313048 is an abundant number, since it is smaller than the sum of its proper divisors (765757152).

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

314313048 is a wasteful number, since it uses less digits than its factorization.

314313048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 314313048 is about 17728.8761065105. The cubic root of 314313048 is about 679.9142394728.

The spelling of 314313048 in words is "three hundred fourteen million, three hundred thirteen thousand, forty-eight".