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420338952 = 233211530731
BaseRepresentation
bin11001000011011…
…101110100001000
31002021221102122100
4121003131310020
51330101321302
6105413153400
713262551665
oct3103356410
91067842570
10420338952
111a62a7970
12b892b860
1369113097
143db7aa6c
1526d7ed1c
hex190ddd08

420338952 has 48 divisors (see below), whose sum is σ = 1241912880. Its totient is φ = 127375200.

The previous prime is 420338939. The next prime is 420338969. The reversal of 420338952 is 259833024.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 264574 + ... + 266157.

It is an arithmetic number, because the mean of its divisors is an integer number (25873185).

Almost surely, 2420338952 is an apocalyptic number.

It is an amenable number.

420338952 is an abundant number, since it is smaller than the sum of its proper divisors (821573928).

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

420338952 is a wasteful number, since it uses less digits than its factorization.

420338952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530754 (or 530747 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 420338952 is about 20502.1694461830. The cubic root of 420338952 is about 749.0886423515.

The spelling of 420338952 in words is "four hundred twenty million, three hundred thirty-eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 530731 1061462 1592193 2122924 3184386 4245848 4776579 5838041 6368772 9553158 11676082 12737544 17514123 19106316 23352164 35028246 38212632 46704328 52542369 70056492 105084738 140112984 210169476 420338952