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314150417 = 7229221077
BaseRepresentation
bin10010101110011…
…000111000010001
3210220010111100122
4102232120320101
51120410303132
651101200025
710533143300
oct2256307021
9726114318
10314150417
11151369949
1289260015
1350113829
142da18437
151c8a6912
hex12b98e11

314150417 has 12 divisors (see below), whose sum is σ = 378043380. Its totient is φ = 259985376.

The previous prime is 314150411. The next prime is 314150423. The reversal of 314150417 is 714051413.

It is an interprime number because it is at equal distance from previous prime (314150411) and next prime (314150423).

It can be written as a sum of positive squares in 2 ways, for example, as 146991376 + 167159041 = 12124^2 + 12929^2 .

It is not a de Polignac number, because 314150417 - 24 = 314150401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (314150411) 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 11 ways as a sum of consecutive naturals, for example, 109118 + ... + 111959.

It is an arithmetic number, because the mean of its divisors is an integer number (31503615).

Almost surely, 2314150417 is an apocalyptic number.

It is an amenable number.

314150417 is a deficient number, since it is larger than the sum of its proper divisors (63892963).

314150417 is a wasteful number, since it uses less digits than its factorization.

314150417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221120 (or 221113 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 314150417 is about 17724.2888996992. The cubic root of 314150417 is about 679.7969527847.

The spelling of 314150417 in words is "three hundred fourteen million, one hundred fifty thousand, four hundred seventeen".

Divisors: 1 7 29 49 203 1421 221077 1547539 6411233 10832773 44878631 314150417