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1044431220 = 223577733217
BaseRepresentation
bin111110010000001…
…100000101110100
32200210021121021210
4332100030011310
54114333244340
6251345441420
734611342660
oct7620140564
92623247253
101044431220
114966106a8
12251940270
131384c5951
149c9d58a0
1561a5b180
hex3e40c174

1044431220 has 96 divisors (see below), whose sum is σ = 3347543808. Its totient is φ = 238344192.

The previous prime is 1044431207. The next prime is 1044431237. The reversal of 1044431220 is 221344401.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 323052 + ... + 326268.

It is an arithmetic number, because the mean of its divisors is an integer number (34870248).

Almost surely, 21044431220 is an apocalyptic number.

1044431220 is a gapful number since it is divisible by the number (10) 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 1044431220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673771904).

1044431220 is an abundant number, since it is smaller than the sum of its proper divisors (2303112588).

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

1044431220 is a wasteful number, since it uses less digits than its factorization.

1044431220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4009 (or 4007 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1044431220 is about 32317.6611158667. The cubic root of 1044431220 is about 1014.5963175857.

Adding to 1044431220 its reverse (221344401), we get a palindrome (1265775621).

The spelling of 1044431220 in words is "one billion, forty-four million, four hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 773 1546 2319 3092 3217 3865 4638 5411 6434 7730 9276 9651 10822 11595 12868 15460 16085 16233 19302 21644 22519 23190 27055 32170 32466 38604 45038 46380 48255 54110 64340 64932 67557 81165 90076 96510 108220 112595 135114 162330 193020 225190 270228 324660 337785 450380 675570 1351140 2486741 4973482 7460223 9946964 12433705 14920446 17407187 24867410 29840892 34814374 37301115 49734820 52221561 69628748 74602230 87035935 104443122 149204460 174071870 208886244 261107805 348143740 522215610 1044431220