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314312988 = 2231141789
BaseRepresentation
bin10010101111000…
…000100100011100
3210220102202100210
4102233000210130
51120431003423
651104452420
710534421253
oct2257004434
9726382323
10314312988
11151470000
128931a110
135016c822
142da5b79a
151c8d9b93
hex12bc091c

314312988 has 60 divisors (see below), whose sum is σ = 807182600. Its totient is φ = 95193120.

The previous prime is 314312987. The next prime is 314312989. The reversal of 314312988 is 889213413.

It is an interprime number because it is at equal distance from previous prime (314312987) and next prime (314312989).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314312981) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 174798 + ... + 176586.

Almost surely, 2314312988 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 314312988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403591300).

314312988 is an abundant number, since it is smaller than the sum of its proper divisors (492869612).

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

314312988 is a wasteful number, since it uses less digits than its factorization.

314312988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1840 (or 1805 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 314312988 is about 17728.8744143558. The cubic root of 314312988 is about 679.9141962093.

The spelling of 314312988 in words is "three hundred fourteen million, three hundred twelve thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1331 1452 1789 2662 3578 3993 5324 5367 7156 7986 10734 14641 15972 19679 21468 29282 39358 43923 58564 59037 78716 87846 118074 175692 216469 236148 432938 649407 865876 1298814 2381159 2597628 4762318 7143477 9524636 14286954 26192749 28573908 52385498 78578247 104770996 157156494 314312988