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431412640 = 2552696329
BaseRepresentation
bin11001101101101…
…101010110100000
31010001210000212221
4121231231112200
51340420201030
6110450400424
713455642541
oct3155552640
91101700787
10431412640
1120158077a
12100590114
136b4bc569
14414204c8
1527d1ae7a
hex19b6d5a0

431412640 has 24 divisors (see below), whose sum is σ = 1019212740. Its totient is φ = 172564992.

The previous prime is 431412623. The next prime is 431412677. The reversal of 431412640 is 46214134.

It can be written as a sum of positive squares in 2 ways, for example, as 409171984 + 22240656 = 20228^2 + 4716^2 .

It is a super-2 number, since 2×4314126402 = 372233731903539200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1348005 + ... + 1348324.

Almost surely, 2431412640 is an apocalyptic number.

431412640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431412640 is an abundant number, since it is smaller than the sum of its proper divisors (587800100).

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

431412640 is a wasteful number, since it uses less digits than its factorization.

431412640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2696344 (or 2696336 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 431412640 is about 20770.4751991860. The cubic root of 431412640 is about 755.6098693494.

Adding to 431412640 its reverse (46214134), we get a palindrome (477626774).

The spelling of 431412640 in words is "four hundred thirty-one million, four hundred twelve thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2696329 5392658 10785316 13481645 21570632 26963290 43141264 53926580 86282528 107853160 215706320 431412640