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424040424 = 23337477523
BaseRepresentation
bin11001010001100…
…101011111101000
31002112220111002220
4121101211133220
51332023243144
6110024354040
713336166313
oct3121453750
91075814086
10424040424
111a83a5935
12ba015920
1369b0aac2
144046197a
1527361919
hex194657e8

424040424 has 32 divisors (see below), whose sum is σ = 1088754720. Its totient is φ = 137526336.

The previous prime is 424040399. The next prime is 424040431.

424040424 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 424040394 and 424040403.

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, 237874 + ... + 239649.

It is an arithmetic number, because the mean of its divisors is an integer number (34023585).

Almost surely, 2424040424 is an apocalyptic number.

It is an amenable number.

424040424 is an abundant number, since it is smaller than the sum of its proper divisors (664714296).

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

424040424 is a wasteful number, since it uses less digits than its factorization.

424040424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477569 (or 477565 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 424040424 is about 20592.2418400717. The cubic root of 424040424 is about 751.2810249433.

The spelling of 424040424 in words is "four hundred twenty-four million, forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 477523 955046 1432569 1910092 2865138 3820184 5730276 11460552 17668351 35336702 53005053 70673404 106010106 141346808 212020212 424040424