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561160344 = 233177383227
BaseRepresentation
bin100001011100101…
…010000010011000
31110002220220021110
4201130222002120
52122124112334
6131403340320
716622532663
oct4134520230
91402826243
10561160344
11268840088
12137b216a0
138c34a254
14547566da
15343e9ae9
hex2172a098

561160344 has 128 divisors (see below), whose sum is σ = 1530627840. Its totient is φ = 170790912.

The previous prime is 561160331. The next prime is 561160349. The reversal of 561160344 is 443061165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561160349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2471959 + ... + 2472185.

It is an arithmetic number, because the mean of its divisors is an integer number (11958030).

Almost surely, 2561160344 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 561160344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765313920).

561160344 is an abundant number, since it is smaller than the sum of its proper divisors (969467496).

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

561160344 is a wasteful number, since it uses less digits than its factorization.

561160344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 561160344 is about 23688.8231873177. The cubic root of 561160344 is about 824.8259658612.

The spelling of 561160344 in words is "five hundred sixty-one million, one hundred sixty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 73 83 102 136 146 166 204 219 227 249 292 332 408 438 454 498 584 664 681 876 908 996 1241 1362 1411 1752 1816 1992 2482 2724 2822 3723 3859 4233 4964 5448 5644 6059 7446 7718 8466 9928 11288 11577 12118 14892 15436 16571 16932 18177 18841 23154 24236 29784 30872 33142 33864 36354 37682 46308 48472 49713 56523 66284 72708 75364 92616 99426 103003 113046 132568 145416 150728 198852 206006 226092 281707 309009 320297 397704 412012 452184 563414 618018 640594 824024 845121 960891 1126828 1236036 1281188 1375393 1690242 1921782 2253656 2472072 2562376 2750786 3380484 3843564 4126179 5501572 6760968 7687128 8252358 11003144 16504716 23381681 33009432 46763362 70145043 93526724 140290086 187053448 280580172 561160344