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1004413431 = 37172359461
BaseRepresentation
bin111011110111100…
…010000111110111
32120222222111012110
4323313202013313
54024112212211
6243400022103
733614242020
oct7367420767
92528874173
101004413431
11475a6874a
12240461933
13130123c98
1497579c47
155d2a3ea6
hex3bde21f7

1004413431 has 48 divisors (see below), whose sum is σ = 1633927680. Its totient is φ = 537515520.

The previous prime is 1004413411. The next prime is 1004413447. The reversal of 1004413431 is 1343144001.

It is not a de Polignac number, because 1004413431 - 29 = 1004412919 is a prime.

It is a super-2 number, since 2×10044134312 = 2017692680746383522, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1004413398 and 1004413407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004413411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2178541 + ... + 2179001.

It is an arithmetic number, because the mean of its divisors is an integer number (34040160).

Almost surely, 21004413431 is an apocalyptic number.

1004413431 is a deficient number, since it is larger than the sum of its proper divisors (629514249).

1004413431 is a wasteful number, since it uses less digits than its factorization.

1004413431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1004413431 is about 31692.4822473722. The cubic root of 1004413431 is about 1001.4689846940.

Adding to 1004413431 its reverse (1343144001), we get a palindrome (2347557432).

The spelling of 1004413431 in words is "one billion, four million, four hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 3 7 17 21 51 119 289 357 359 461 867 1077 1383 2023 2513 3227 6069 6103 7539 7837 9681 18309 23511 42721 54859 103751 128163 133229 164577 165499 311253 399687 496497 726257 932603 1158493 2178771 2797809 2813483 3475479 8440449 19694381 47829211 59083143 143487633 334804477 1004413431