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314157327 = 3119519919
BaseRepresentation
bin10010101110011…
…010100100001111
3210220010211211120
4102232122210033
51120411013302
651101252023
710533202401
oct2256324417
9726124746
10314157327
11151374060
1289264013
1350116a13
142da1ab71
151c8a89bc
hex12b9a90f

314157327 has 8 divisors (see below), whose sum is σ = 456956160. Its totient is φ = 190398360.

The previous prime is 314157323. The next prime is 314157329. The reversal of 314157327 is 723751413.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 314157327 - 22 = 314157323 is a prime.

It is a super-2 number, since 2×3141573272 = 197389652215569858, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 9519919 = 314157327 / (3 + 1 + 4 + 1 + 5 + 7 + 3 + 2 + 7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314157323) 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, 4759927 + ... + 4759992.

It is an arithmetic number, because the mean of its divisors is an integer number (57119520).

Almost surely, 2314157327 is an apocalyptic number.

314157327 is a deficient number, since it is larger than the sum of its proper divisors (142798833).

314157327 is a wasteful number, since it uses less digits than its factorization.

314157327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9519933.

The product of its digits is 17640, while the sum is 33.

The square root of 314157327 is about 17724.4838288736. The cubic root of 314157327 is about 679.8019369815.

It can be divided in two parts, 314 and 157327, that added together give a triangular number (157641 = T561).

The spelling of 314157327 in words is "three hundred fourteen million, one hundred fifty-seven thousand, three hundred twenty-seven".

Divisors: 1 3 11 33 9519919 28559757 104719109 314157327