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401434104 = 233151110771
BaseRepresentation
bin10111111011010…
…110010111111000
31000222100222001210
4113323112113320
51310231342404
6103500043120
712643063551
oct2773262770
91028328053
10401434104
11196665425
12b25334a0
1365224296
143b459328
1525398689
hex17ed65f8

401434104 has 32 divisors (see below), whose sum is σ = 1010240640. Its totient is φ = 132924000.

The previous prime is 401434091. The next prime is 401434129.

401434104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4014341042 = 322298679708565632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51762 + ... + 59009.

It is an arithmetic number, because the mean of its divisors is an integer number (31570020).

Almost surely, 2401434104 is an apocalyptic number.

It is an amenable number.

401434104 is an abundant number, since it is smaller than the sum of its proper divisors (608806536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

401434104 is a wasteful number, since it uses less digits than its factorization.

401434104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110931 (or 110927 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 401434104 is about 20035.8205222546. The cubic root of 401434104 is about 737.6857968734.

The spelling of 401434104 in words is "four hundred one million, four hundred thirty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 151 302 453 604 906 1208 1812 3624 110771 221542 332313 443084 664626 886168 1329252 2658504 16726421 33452842 50179263 66905684 100358526 133811368 200717052 401434104