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531421344 = 25333119841
BaseRepresentation
bin11111101011001…
…101100010100000
31101000222000001000
4133223031202200
52042020440334
6124422112000
716112002236
oct3753154240
91330860030
10531421344
11252a787a3
12129b7b600
1386136ccc
1450814956
15319c3299
hex1facd8a0

531421344 has 96 divisors (see below), whose sum is σ = 1600058880. Its totient is φ = 171417600.

The previous prime is 531421337. The next prime is 531421351. The reversal of 531421344 is 443124135.

It is a happy number.

531421344 is a `hidden beast` number, since 5 + 314 + 2 + 1 + 344 = 666.

It is an interprime number because it is at equal distance from previous prime (531421337) and next prime (531421351).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16864 + ... + 36704.

It is an arithmetic number, because the mean of its divisors is an integer number (16667280).

Almost surely, 2531421344 is an apocalyptic number.

531421344 is a gapful number since it is divisible by the number (54) 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 531421344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800029440).

531421344 is an abundant number, since it is smaller than the sum of its proper divisors (1068637536).

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

531421344 is a wasteful number, since it uses less digits than its factorization.

531421344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19891 (or 19877 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 531421344 is about 23052.5778168083. The cubic root of 531421344 is about 809.9900135943.

Adding to 531421344 its reverse (443124135), we get a palindrome (974545479).

It can be divided in two parts, 531 and 421344, that added together give a cube (421875 = 753).

The spelling of 531421344 in words is "five hundred thirty-one million, four hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 372 432 496 558 744 837 864 992 1116 1488 1674 2232 2976 3348 4464 6696 8928 13392 19841 26784 39682 59523 79364 119046 158728 178569 238092 317456 357138 476184 535707 615071 634912 714276 952368 1071414 1230142 1428552 1845213 1904736 2142828 2460284 2857104 3690426 4285656 4920568 5535639 5714208 7380852 8571312 9841136 11071278 14761704 16606917 17142624 19682272 22142556 29523408 33213834 44285112 59046816 66427668 88570224 132855336 177140448 265710672 531421344