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431320422 = 231329316151
BaseRepresentation
bin11001101101010…
…110110101100110
31010001121100101110
4121231112311212
51340404223142
6110444405450
713455106641
oct3155266546
91101540343
10431320422
11201518465
12100546886
136b4895b0
14413d8a58
1527ced99c
hex19b56d66

431320422 has 64 divisors (see below), whose sum is σ = 992194560. Its totient is φ = 123984000.

The previous prime is 431320397. The next prime is 431320441. The reversal of 431320422 is 224023134.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67047 + ... + 73197.

It is an arithmetic number, because the mean of its divisors is an integer number (15503040).

Almost surely, 2431320422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431320422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496097280).

431320422 is an abundant number, since it is smaller than the sum of its proper divisors (560874138).

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

431320422 is a wasteful number, since it uses less digits than its factorization.

431320422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6229.

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

The square root of 431320422 is about 20768.2551505898. The cubic root of 431320422 is about 755.5560262380.

Adding to 431320422 its reverse (224023134), we get a palindrome (655343556).

The spelling of 431320422 in words is "four hundred thirty-one million, three hundred twenty thousand, four hundred twenty-two".

Divisors: 1 2 3 6 13 26 29 31 39 58 62 78 87 93 174 186 377 403 754 806 899 1131 1209 1798 2262 2418 2697 5394 6151 11687 12302 18453 23374 35061 36906 70122 79963 159926 178379 190681 239889 356758 381362 479778 535137 572043 1070274 1144086 2318927 2478853 4637854 4957706 5529749 6956781 7436559 11059498 13913562 14873118 16589247 33178494 71886737 143773474 215660211 431320422