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431312420 = 2257114759101
BaseRepresentation
bin11001101101010…
…100111000100100
31010001120221102002
4121231110320210
51340403444140
6110444304432
713455044420
oct3155247044
91101527362
10431312420
11201512450
12100542118
136b485a66
14413d5b80
1527ceb415
hex19b54e24

431312420 has 192 divisors, whose sum is σ = 1184440320. Its totient is φ = 128064000.

The previous prime is 431312417. The next prime is 431312443. The reversal of 431312420 is 24213134.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 431312392 and 431312401.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4270370 + ... + 4270470.

It is an arithmetic number, because the mean of its divisors is an integer number (6168960).

Almost surely, 2431312420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431312420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592220160).

431312420 is an abundant number, since it is smaller than the sum of its proper divisors (753127900).

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

431312420 is a wasteful number, since it uses less digits than its factorization.

431312420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 431312420 is about 20768.0624999060. The cubic root of 431312420 is about 755.5513537668.

Adding to 431312420 its reverse (24213134), we get a palindrome (455525554).

The spelling of 431312420 in words is "four hundred thirty-one million, three hundred twelve thousand, four hundred twenty".