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431234442 = 23411323557
BaseRepresentation
bin11001101101000…
…001110110001010
31010001102222110000
4121231001312022
51340344000232
6110442503430
713454301162
oct3155016612
91101388400
10431234442
11201469901
12100504b76
136b459412
14413b55a2
1527cd327c
hex19b41d8a

431234442 has 40 divisors (see below), whose sum is σ = 974877156. Its totient is φ = 142466688.

The previous prime is 431234399. The next prime is 431234473. The reversal of 431234442 is 244432134.

It is a happy number.

431234442 is a `hidden beast` number, since 4 + 312 + 344 + 4 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 254051721 + 177182721 = 15939^2 + 13311^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6528 + ... + 30084.

Almost surely, 2431234442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431234442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487438578).

431234442 is an abundant number, since it is smaller than the sum of its proper divisors (543642714).

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

431234442 is a wasteful number, since it uses less digits than its factorization.

431234442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23684 (or 23675 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 431234442 is about 20766.1850612962. The cubic root of 431234442 is about 755.5058183795.

Adding to 431234442 its reverse (244432134), we get a palindrome (675666576).

The spelling of 431234442 in words is "four hundred thirty-one million, two hundred thirty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 113 162 226 339 678 1017 2034 3051 6102 9153 18306 23557 47114 70671 141342 212013 424026 636039 1272078 1908117 2661941 3816234 5323882 7985823 15971646 23957469 47914938 71872407 143744814 215617221 431234442