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314507640 = 23352620897
BaseRepresentation
bin10010101111110…
…000000101111000
3210220210122101010
4102233300011320
51121003221030
651112553520
710536161616
oct2257600570
9726718333
10314507640
11151593277
12893b28a0
135020a2c5
142daac6b6
151c9276b0
hex12bf0178

314507640 has 32 divisors (see below), whose sum is σ = 943523280. Its totient is φ = 83868672.

The previous prime is 314507621. The next prime is 314507647. The reversal of 314507640 is 46705413.

314507640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 314507598 and 314507607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314507647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1310329 + ... + 1310568.

Almost surely, 2314507640 is an apocalyptic number.

314507640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314507640 is an abundant number, since it is smaller than the sum of its proper divisors (629015640).

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

314507640 is a wasteful number, since it uses less digits than its factorization.

314507640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620911 (or 2620907 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 314507640 is about 17734.3632533001. The cubic root of 314507640 is about 680.0545227332.

The spelling of 314507640 in words is "three hundred fourteen million, five hundred seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2620897 5241794 7862691 10483588 13104485 15725382 20967176 26208970 31450764 39313455 52417940 62901528 78626910 104835880 157253820 314507640