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431405 = 5136637
BaseRepresentation
bin1101001010100101101
3210220202222
41221110231
5102301110
613125125
73444512
oct1512455
9726688
10431405
11275137
121897a5
13121490
14b3309
1587c55
hex6952d

431405 has 8 divisors (see below), whose sum is σ = 557592. Its totient is φ = 318528.

The previous prime is 431399. The next prime is 431423. The reversal of 431405 is 504134.

It can be written as a sum of positive squares in 4 ways, for example, as 17956 + 413449 = 134^2 + 643^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 431405 - 212 = 427309 is a prime.

It is a super-2 number, since 2×4314052 = 372220548050, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 431405.

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, 3254 + ... + 3383.

It is an arithmetic number, because the mean of its divisors is an integer number (69699).

2431405 is an apocalyptic number.

It is an amenable number.

431405 is a deficient number, since it is larger than the sum of its proper divisors (126187).

431405 is a wasteful number, since it uses less digits than its factorization.

431405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6655.

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 431405 is about 656.8142812089. The cubic root of 431405 is about 75.5605408892.

Adding to 431405 its reverse (504134), we get a palindrome (935539).

The spelling of 431405 in words is "four hundred thirty-one thousand, four hundred five".

Divisors: 1 5 13 65 6637 33185 86281 431405