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314580040 = 2357864501
BaseRepresentation
bin10010110000000…
…001110001001000
3210220221022200121
4102300001301020
51121013030130
651114313024
710536612655
oct2260016110
9726838617
10314580040
11151632705
1289428774
1350234248
142dacac2c
151c93dd7a
hex12c01c48

314580040 has 16 divisors (see below), whose sum is σ = 707805180. Its totient is φ = 125832000.

The previous prime is 314580037. The next prime is 314580061. The reversal of 314580040 is 40085413.

It can be written as a sum of positive squares in 2 ways, for example, as 310393924 + 4186116 = 17618^2 + 2046^2 .

It is a junction number, because it is equal to n+sod(n) for n = 314579987 and 314580014.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3932211 + ... + 3932290.

Almost surely, 2314580040 is an apocalyptic number.

It is an amenable number.

314580040 is an abundant number, since it is smaller than the sum of its proper divisors (393225140).

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

314580040 is a wasteful number, since it uses less digits than its factorization.

314580040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7864512 (or 7864508 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 314580040 is about 17736.4043706722. The cubic root of 314580040 is about 680.1067018258.

The spelling of 314580040 in words is "three hundred fourteen million, five hundred eighty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 7864501 15729002 31458004 39322505 62916008 78645010 157290020 314580040