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1331430804 = 2233111975689
BaseRepresentation
bin100111101011100…
…0000010110010100
310102210022200201000
41033113000112110
510211321241204
6340041103300
744664655314
oct11727002624
93383280630
101331430804
11623615740
12311a87b30
13182ac12a2
14c8b83444
157bd4d039
hex4f5c0594

1331430804 has 96 divisors (see below), whose sum is σ = 3785443200. Its totient is φ = 401345280.

The previous prime is 1331430799. The next prime is 1331430869. The reversal of 1331430804 is 4080341331.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231192 + ... + 236880.

It is an arithmetic number, because the mean of its divisors is an integer number (39431700).

Almost surely, 21331430804 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 1331430804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892721600).

1331430804 is an abundant number, since it is smaller than the sum of its proper divisors (2454012396).

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

1331430804 is a wasteful number, since it uses less digits than its factorization.

1331430804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5910 (or 5902 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1331430804 is about 36488.7764113844. The cubic root of 1331430804 is about 1100.1186659859.

The spelling of 1331430804 in words is "one billion, three hundred thirty-one million, four hundred thirty thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 197 198 297 394 396 591 594 788 1182 1188 1773 2167 2364 3546 4334 5319 5689 6501 7092 8668 10638 11378 13002 17067 19503 21276 22756 26004 34134 39006 51201 58509 62579 68268 78012 102402 117018 125158 153603 187737 204804 234036 250316 307206 375474 563211 614412 750948 1120733 1126422 1689633 2241466 2252844 3362199 3379266 4482932 6724398 6758532 10086597 12328063 13448796 20173194 24656126 30259791 36984189 40346388 49312252 60519582 73968378 110952567 121039164 147936756 221905134 332857701 443810268 665715402 1331430804