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431243244 = 223319720269
BaseRepresentation
bin11001101101000…
…011111111101100
31010001110102112000
4121231003333230
51340344240434
6110443012300
713454335635
oct3155037754
91101412460
10431243244
11201475483
1210050a090
136b460423
14413b888c
1527cd5b99
hex19b43fec

431243244 has 48 divisors (see below), whose sum is σ = 1123768800. Its totient is φ = 143011008.

The previous prime is 431243237. The next prime is 431243249. The reversal of 431243244 is 442342134.

It is a happy number.

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

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

It is not an unprimeable number, because it can be changed into a prime (431243249) 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, 11142 + ... + 31410.

It is an arithmetic number, because the mean of its divisors is an integer number (23411850).

Almost surely, 2431243244 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 431243244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561884400).

431243244 is an abundant number, since it is smaller than the sum of its proper divisors (692525556).

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

431243244 is a wasteful number, since it uses less digits than its factorization.

431243244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20479 (or 20471 counting only the distinct ones).

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

The square root of 431243244 is about 20766.3969912934. The cubic root of 431243244 is about 755.5109585974.

Adding to 431243244 its reverse (442342134), we get a palindrome (873585378).

The spelling of 431243244 in words is "four hundred thirty-one million, two hundred forty-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 197 394 591 788 1182 1773 2364 3546 5319 7092 10638 20269 21276 40538 60807 81076 121614 182421 243228 364842 547263 729684 1094526 2189052 3992993 7985986 11978979 15971972 23957958 35936937 47915916 71873874 107810811 143747748 215621622 431243244