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424322664 = 233295311503
BaseRepresentation
bin11001010010101…
…010011001101000
31002120102211021020
4121102222121220
51332111311124
6110034412440
713341453213
oct3122523150
91076384236
10424322664
111a8578997
12ba131120
1369ba93cc
14404d677a
15273ba379
hex194aa668

424322664 has 64 divisors (see below), whose sum is σ = 1118188800. Its totient is φ = 133975296.

The previous prime is 424322651. The next prime is 424322681. The reversal of 424322664 is 466223424.

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 31137 + ... + 42639.

It is an arithmetic number, because the mean of its divisors is an integer number (17471700).

Almost surely, 2424322664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424322664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559094400).

424322664 is an abundant number, since it is smaller than the sum of its proper divisors (693866136).

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

424322664 is a wasteful number, since it uses less digits than its factorization.

424322664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11594 (or 11590 counting only the distinct ones).

The product of its digits is 55296, while the sum is 33.

The square root of 424322664 is about 20599.0937664743. The cubic root of 424322664 is about 751.4476714209.

The spelling of 424322664 in words is "four hundred twenty-four million, three hundred twenty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 29 53 58 87 106 116 159 174 212 232 318 348 424 636 696 1272 1537 3074 4611 6148 9222 11503 12296 18444 23006 34509 36888 46012 69018 92024 138036 276072 333587 609659 667174 1000761 1219318 1334348 1828977 2001522 2438636 2668696 3657954 4003044 4877272 7315908 8006088 14631816 17680111 35360222 53040333 70720444 106080666 141440888 212161332 424322664