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314152040 = 23510397559
BaseRepresentation
bin10010101110011…
…001010001101000
3210220010120120202
4102232121101220
51120410331130
651101211332
710533151106
oct2256312150
9726116522
10314152040
11151370094
1289260b48
13501144a7
142da18c76
151c8a7145
hex12b99468

314152040 has 32 divisors (see below), whose sum is σ = 707616000. Its totient is φ = 125523264.

The previous prime is 314152039. The next prime is 314152043. The reversal of 314152040 is 40251413.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (314152043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37781 + ... + 45339.

It is an arithmetic number, because the mean of its divisors is an integer number (22113000).

Almost surely, 2314152040 is an apocalyptic number.

It is an amenable number.

314152040 is an abundant number, since it is smaller than the sum of its proper divisors (393463960).

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

314152040 is a wasteful number, since it uses less digits than its factorization.

314152040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8609 (or 8605 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 314152040 is about 17724.3346842695. The cubic root of 314152040 is about 679.7981234644.

The spelling of 314152040 in words is "three hundred fourteen million, one hundred fifty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 1039 2078 4156 5195 7559 8312 10390 15118 20780 30236 37795 41560 60472 75590 151180 302360 7853801 15707602 31415204 39269005 62830408 78538010 157076020 314152040