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431040324 = 22311132391051
BaseRepresentation
bin11001101100010…
…010011101000100
31010001002010011110
4121230102131010
51340321242244
6110434405020
713452532221
oct3154223504
91101063143
10431040324
11201346a80
12100430770
136b3bbc60
1441364948
1527c959b9
hex19b12744

431040324 has 96 divisors (see below), whose sum is σ = 1187665920. Its totient is φ = 119952000.

The previous prime is 431040319. The next prime is 431040341. The reversal of 431040324 is 423040134.

It is a self number, because there is not a number n which added to its sum of digits gives 431040324.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409599 + ... + 410649.

It is an arithmetic number, because the mean of its divisors is an integer number (12371520).

Almost surely, 2431040324 is an apocalyptic number.

431040324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431040324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593832960).

431040324 is an abundant number, since it is smaller than the sum of its proper divisors (756625596).

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

431040324 is a wasteful number, since it uses less digits than its factorization.

431040324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 431040324 is about 20761.5106386795. The cubic root of 431040324 is about 755.3924389928.

Adding to 431040324 its reverse (423040134), we get a palindrome (854080458).

The spelling of 431040324 in words is "four hundred thirty-one million, forty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 239 286 429 478 572 717 858 956 1051 1434 1716 2102 2629 2868 3107 3153 4204 5258 6214 6306 7887 9321 10516 11561 12428 12612 13663 15774 18642 23122 27326 31548 34177 34683 37284 40989 46244 54652 68354 69366 81978 102531 136708 138732 150293 163956 205062 251189 300586 410124 450879 502378 601172 753567 901758 1004756 1507134 1803516 2763079 3014268 3265457 5526158 6530914 8289237 9796371 11052316 13061828 16578474 19592742 33156948 35920027 39185484 71840054 107760081 143680108 215520162 431040324