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400432420 = 22574326947
BaseRepresentation
bin10111110111100…
…001110100100100
31000220111002000101
4113313201310210
51310002314140
6103422353444
712631422313
oct2767416444
91026432011
10400432420
11196040893
12b212b884
1364c6337b
143b27827a
152524b99a
hex17de1d24

400432420 has 24 divisors (see below), whose sum is σ = 842071104. Its totient is φ = 159951456.

The previous prime is 400432387. The next prime is 400432423. The reversal of 400432420 is 24234004.

It is a super-2 number, since 2×4004324202 = 320692245974112800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (400432423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1387 + ... + 28333.

It is an arithmetic number, because the mean of its divisors is an integer number (35086296).

Almost surely, 2400432420 is an apocalyptic number.

It is an amenable number.

400432420 is an abundant number, since it is smaller than the sum of its proper divisors (441638684).

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

400432420 is a wasteful number, since it uses less digits than its factorization.

400432420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27699 (or 27697 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 400432420 is about 20010.8075799054. The cubic root of 400432420 is about 737.0717122597.

Adding to 400432420 its reverse (24234004), we get a palindrome (424666424).

The spelling of 400432420 in words is "four hundred million, four hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 743 1486 2972 3715 7430 14860 26947 53894 107788 134735 269470 538940 20021621 40043242 80086484 100108105 200216210 400432420