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379457 = 13172101
BaseRepresentation
bin1011100101001000001
3201021111222
41130221001
544120312
612044425
73140201
oct1345101
9637458
10379457
1123a101
12163715
13103940
149c401
1577672
hex5ca41

379457 has 12 divisors (see below), whose sum is σ = 438396. Its totient is φ = 326400.

The previous prime is 379451. The next prime is 379459. The reversal of 379457 is 754973.

It is a Cunningham number, because it is equal to 6162+1.

It can be written as a sum of positive squares in 6 ways, for example, as 55696 + 323761 = 236^2 + 569^2 .

It is not a de Polignac number, because 379457 - 24 = 379441 is a prime.

It is a super-2 number, since 2×3794572 = 287975229698, which contains 22 as substring.

It is a d-powerful number, because it can be written as 310 + 72 + 48 + 95 + 57 + 76 .

It is not an unprimeable number, because it can be changed into a prime (379451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3707 + ... + 3807.

It is an arithmetic number, because the mean of its divisors is an integer number (36533).

2379457 is an apocalyptic number.

It is an amenable number.

379457 is a deficient number, since it is larger than the sum of its proper divisors (58939).

379457 is a wasteful number, since it uses less digits than its factorization.

379457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 131 counting only the distinct ones).

The product of its digits is 26460, while the sum is 35.

The square root of 379457 is about 616.0008116878. Note that the first 3 decimals coincide. The cubic root of 379457 is about 72.3970476905.

The spelling of 379457 in words is "three hundred seventy-nine thousand, four hundred fifty-seven".

Divisors: 1 13 17 101 221 289 1313 1717 3757 22321 29189 379457