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379590417 = 32192116833
BaseRepresentation
bin10110101000000…
…001011100010001
3222110021012011100
4112220001130101
51234133343132
6101355535013
712256315413
oct2650013421
9873235140
10379590417
111852a5998
12a715a469
136084691b
14385b09b3
15234d137c
hex16a01711

379590417 has 18 divisors (see below), whose sum is σ = 578678802. Its totient is φ = 239739264.

The previous prime is 379590403. The next prime is 379590439. The reversal of 379590417 is 714095973.

It can be written as a sum of positive squares in only one way, i.e., 240374016 + 139216401 = 15504^2 + 11799^2 .

It is not a de Polignac number, because 379590417 - 24 = 379590401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (379590317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55168 + ... + 61665.

Almost surely, 2379590417 is an apocalyptic number.

It is an amenable number.

379590417 is a deficient number, since it is larger than the sum of its proper divisors (199088385).

379590417 is a wasteful number, since it uses less digits than its factorization.

379590417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116877 (or 116855 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 379590417 is about 19483.0802749463. The cubic root of 379590417 is about 724.0553162511.

The spelling of 379590417 in words is "three hundred seventy-nine million, five hundred ninety thousand, four hundred seventeen".

Divisors: 1 3 9 19 57 171 361 1083 3249 116833 350499 1051497 2219827 6659481 19978443 42176713 126530139 379590417