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431414020 = 225157137393
BaseRepresentation
bin11001101101101…
…101101100000100
31010001210002210001
4121231231230010
51340420222040
6110450411044
713455646552
oct3155555404
91101702701
10431414020
11201581814
12100590a84
136b4c008b
1441420bd2
1527d1b59a
hex19b6db04

431414020 has 24 divisors (see below), whose sum is σ = 911746584. Its totient is φ = 171465216.

The previous prime is 431414003. The next prime is 431414033. The reversal of 431414020 is 20414134.

It can be written as a sum of positive squares in 4 ways, for example, as 87459904 + 343954116 = 9352^2 + 18546^2 .

It is a super-2 number, since 2×4314140202 = 372236113305120800, which contains 22 as substring.

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, 65557 + ... + 71836.

It is an arithmetic number, because the mean of its divisors is an integer number (37989441).

Almost surely, 2431414020 is an apocalyptic number.

It is an amenable number.

431414020 is an abundant number, since it is smaller than the sum of its proper divisors (480332564).

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

431414020 is a wasteful number, since it uses less digits than its factorization.

431414020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137559 (or 137557 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 431414020 is about 20770.5084193912. The cubic root of 431414020 is about 755.6106750285.

Adding to 431414020 its reverse (20414134), we get a palindrome (451828154).

The spelling of 431414020 in words is "four hundred thirty-one million, four hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 10 20 157 314 628 785 1570 3140 137393 274786 549572 686965 1373930 2747860 21570701 43141402 86282804 107853505 215707010 431414020