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1631344 = 2411132331
BaseRepresentation
bin110001110010001110000
310001212210011
412032101300
5404200334
654544304
716603051
oct6162160
93055704
101631344
11a14720
12668094
134516c0
14306728
15223564
hex18e470

1631344 has 80 divisors (see below), whose sum is σ = 3999744. Its totient is φ = 633600.

The previous prime is 1631341. The next prime is 1631351. The reversal of 1631344 is 4431361.

It is a super-2 number, since 2×16313442 = 5322566492672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1631341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52609 + ... + 52639.

21631344 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 1631344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999872).

1631344 is an abundant number, since it is smaller than the sum of its proper divisors (2368400).

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

1631344 is a wasteful number, since it uses less digits than its factorization.

1631344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 80 counting only the distinct ones).

The product of its digits is 864, while the sum is 22.

The square root of 1631344 is about 1277.2407760481. The cubic root of 1631344 is about 117.7195292315.

The spelling of 1631344 in words is "one million, six hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 23 26 31 44 46 52 62 88 92 104 124 143 176 184 208 248 253 286 299 341 368 403 496 506 572 598 682 713 806 1012 1144 1196 1364 1426 1612 2024 2288 2392 2728 2852 3224 3289 4048 4433 4784 5456 5704 6448 6578 7843 8866 9269 11408 13156 15686 17732 18538 26312 31372 35464 37076 52624 62744 70928 74152 101959 125488 148304 203918 407836 815672 1631344