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420634331 = 13198811933
BaseRepresentation
bin11001000100100…
…101111011011011
31002022111102211022
4121010211323123
51330140244311
6105423353055
713265222105
oct3104457333
91068442738
10420634331
111a6489887
12b8a5278b
13691b7670
143dc16575
1526ddc5db
hex19125edb

420634331 has 16 divisors (see below), whose sum is σ = 477620640. Its totient is φ = 367234560.

The previous prime is 420634321. The next prime is 420634351. The reversal of 420634331 is 133436024.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 420634331 - 210 = 420633307 is a prime.

It is a super-2 number, since 2×4206343312 = 353866480831635122, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 420634331.

It is not an unprimeable number, because it can be changed into a prime (420634321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216641 + ... + 218573.

It is an arithmetic number, because the mean of its divisors is an integer number (29851290).

Almost surely, 2420634331 is an apocalyptic number.

420634331 is a deficient number, since it is larger than the sum of its proper divisors (56986309).

420634331 is a wasteful number, since it uses less digits than its factorization.

420634331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2846.

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 420634331 is about 20509.3717846257. The cubic root of 420634331 is about 749.2640668468.

The spelling of 420634331 in words is "four hundred twenty million, six hundred thirty-four thousand, three hundred thirty-one".

Divisors: 1 13 19 247 881 1933 11453 16739 25129 36727 217607 477451 1702973 22138649 32356487 420634331