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424424424 = 23353333667
BaseRepresentation
bin11001010011000…
…011001111101000
31002120121222212010
4121103003033220
51332123040144
6110040515520
713342355664
oct3123031750
91076558763
10424424424
111a8638396
12ba17bba0
1369c13818
14405218a4
15273da5b9
hex194c33e8

424424424 has 32 divisors (see below), whose sum is σ = 1081084320. Its totient is φ = 138805056.

The previous prime is 424424389. The next prime is 424424443.

424424424 is nontrivially palindromic in base 10.

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

424424424 is a modest number, since divided by 424424 gives 424 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 424424391 and 424424400.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165562 + ... + 168105.

It is an arithmetic number, because the mean of its divisors is an integer number (33783885).

Almost surely, 2424424424 is an apocalyptic number.

It is an amenable number.

424424424 is an abundant number, since it is smaller than the sum of its proper divisors (656659896).

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

424424424 is a wasteful number, since it uses less digits than its factorization.

424424424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333729 (or 333725 counting only the distinct ones).

The product of its digits is 32768, while the sum is 30.

The square root of 424424424 is about 20601.5636299772. The cubic root of 424424424 is about 751.5077367200.

The spelling of 424424424 in words is "four hundred twenty-four million, four hundred twenty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 1272 333667 667334 1001001 1334668 2002002 2669336 4004004 8008008 17684351 35368702 53053053 70737404 106106106 141474808 212212212 424424424