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431442132 = 223113978233
BaseRepresentation
bin11001101101110…
…100100011010100
31010001211112100020
4121231310203110
51340422122012
6110451145140
713456124532
oct3155644324
91101745306
10431442132
112015a0950
121005a51b0
136b4ccb04
144142b152
1527d24a8c
hex19b748d4

431442132 has 48 divisors (see below), whose sum is σ = 1101116352. Its totient is φ = 130394880.

The previous prime is 431442131. The next prime is 431442169. The reversal of 431442132 is 231244134.

It is a super-2 number, since 2×4314421322 = 372284626529410848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431442131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48288 + ... + 56520.

It is an arithmetic number, because the mean of its divisors is an integer number (22939924).

Almost surely, 2431442132 is an apocalyptic number.

It is an amenable number.

431442132 is an abundant number, since it is smaller than the sum of its proper divisors (669674220).

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

431442132 is a wasteful number, since it uses less digits than its factorization.

431442132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8648 (or 8646 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 431442132 is about 20771.1851371076. The cubic root of 431442132 is about 755.6270871562.

Adding to 431442132 its reverse (231244134), we get a palindrome (662686266).

It can be divided in two parts, 4314421 and 32, that added together give a triangular number (4314453 = T2937).

The spelling of 431442132 in words is "four hundred thirty-one million, four hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 397 794 1191 1588 2382 4367 4764 8233 8734 13101 16466 17468 24699 26202 32932 49398 52404 90563 98796 181126 271689 362252 543378 1086756 3268501 6537002 9805503 13074004 19611006 35953511 39222012 71907022 107860533 143814044 215721066 431442132