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401431044 = 223759107757
BaseRepresentation
bin10111111011010…
…101101000000100
31000222100210212110
4113323111220010
51310231243134
6103500021020
712643051620
oct2773255004
91028323773
10401431044
111966630a3
12b2531770
1365222a81
143b458180
15253977e9
hex17ed5a04

401431044 has 96 divisors (see below), whose sum is σ = 1100252160. Its totient is φ = 111549312.

The previous prime is 401431001. The next prime is 401431061. The reversal of 401431044 is 440134104.

It is a super-2 number, since 2×4014310442 = 322293766173859872, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 401431044.

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, 529914 + ... + 530670.

It is an arithmetic number, because the mean of its divisors is an integer number (11460960).

Almost surely, 2401431044 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 401431044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550126080).

401431044 is an abundant number, since it is smaller than the sum of its proper divisors (698821116).

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

401431044 is a wasteful number, since it uses less digits than its factorization.

401431044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 935 counting only the distinct ones).

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

The square root of 401431044 is about 20035.7441588777. The cubic root of 401431044 is about 737.6839224900.

Adding to 401431044 its reverse (440134104), we get a palindrome (841565148).

The spelling of 401431044 in words is "four hundred one million, four hundred thirty-one thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 84 107 118 177 214 236 321 354 413 428 642 708 749 757 826 1239 1284 1498 1514 1652 2247 2271 2478 2996 3028 4494 4542 4956 5299 6313 8988 9084 10598 12626 15897 18939 21196 25252 31794 37878 44191 44663 63588 75756 80999 88382 89326 132573 133989 161998 176764 178652 242997 265146 267978 312641 323996 485994 530292 535956 566993 625282 937923 971988 1133986 1250564 1700979 1875846 2267972 3401958 3751692 4778941 6803916 9557882 14336823 19115764 28673646 33452587 57347292 66905174 100357761 133810348 200715522 401431044