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401337 = 32192347
BaseRepresentation
bin1100001111110111001
3202101112100
41201332321
5100320322
612334013
73261036
oct1417671
9671470
10401337
11254592
12174309
131108a1
14a638d
157ddac
hex61fb9

401337 has 12 divisors (see below), whose sum is σ = 610480. Its totient is φ = 253368.

The previous prime is 401329. The next prime is 401341. The reversal of 401337 is 733104.

It is not a de Polignac number, because 401337 - 23 = 401329 is a prime.

It is a super-2 number, since 2×4013372 = 322142775138, which contains 22 as substring.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 401337.

It is not an unprimeable number, because it can be changed into a prime (401347) 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, 1003 + ... + 1344.

2401337 is an apocalyptic number.

It is an amenable number.

401337 is a deficient number, since it is larger than the sum of its proper divisors (209143).

401337 is a wasteful number, since it uses less digits than its factorization.

401337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 401337 is about 633.5116415663. The cubic root of 401337 is about 73.7626311794.

The spelling of 401337 in words is "four hundred one thousand, three hundred thirty-seven".

Divisors: 1 3 9 19 57 171 2347 7041 21123 44593 133779 401337