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315574140 = 22357751367
BaseRepresentation
bin10010110011110…
…100011101111100
3210222210211100010
4102303310131330
51121241333030
651151503220
710551223140
oct2263643574
9728724303
10315574140
11152151582
1289827b10
13504c187b
142dca9220
151ca886b0
hex12cf477c

315574140 has 48 divisors (see below), whose sum is σ = 1009838592. Its totient is φ = 72131136.

The previous prime is 315574123. The next prime is 315574159. The reversal of 315574140 is 41475513.

315574140 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 = 315574098 and 315574107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375264 + ... + 376103.

It is an arithmetic number, because the mean of its divisors is an integer number (21038304).

Almost surely, 2315574140 is an apocalyptic number.

315574140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315574140 is an abundant number, since it is smaller than the sum of its proper divisors (694264452).

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

315574140 is a wasteful number, since it uses less digits than its factorization.

315574140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751386 (or 751384 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 315574140 is about 17764.4065479261. The cubic root of 315574140 is about 680.8223470907.

The spelling of 315574140 in words is "three hundred fifteen million, five hundred seventy-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 751367 1502734 2254101 3005468 3756835 4508202 5259569 7513670 9016404 10519138 11270505 15027340 15778707 21038276 22541010 26297845 31557414 45082020 52595690 63114828 78893535 105191380 157787070 315574140