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616423368 = 23311323839
BaseRepresentation
bin100100101111011…
…101111111001000
31120221220112220010
4210233131333020
52230301021433
6141100031520
721163340451
oct4457357710
91527815803
10616423368
11296a56000
121525325a0
139a929072
145bc20128
15391b3e63
hex24bddfc8

616423368 has 128 divisors (see below), whose sum is σ = 1770854400. Its totient is φ = 178460480.

The previous prime is 616423363. The next prime is 616423369. The reversal of 616423368 is 863324616.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (616423363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 734293 + ... + 735131.

It is an arithmetic number, because the mean of its divisors is an integer number (13834800).

Almost surely, 2616423368 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 616423368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885427200).

616423368 is an abundant number, since it is smaller than the sum of its proper divisors (1154431032).

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

616423368 is a wasteful number, since it uses less digits than its factorization.

616423368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 878 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 616423368 is about 24827.8748184374. The cubic root of 616423368 is about 851.0590573131.

The spelling of 616423368 in words is "six hundred sixteen million, four hundred twenty-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 121 132 138 184 242 253 264 276 363 484 506 552 726 759 839 968 1012 1331 1452 1518 1678 2024 2517 2662 2783 2904 3036 3356 3993 5034 5324 5566 6072 6712 7986 8349 9229 10068 10648 11132 15972 16698 18458 19297 20136 22264 27687 30613 31944 33396 36916 38594 55374 57891 61226 66792 73832 77188 91839 101519 110748 115782 122452 154376 183678 203038 212267 221496 231564 244904 304557 367356 406076 424534 463128 609114 636801 734712 812152 849068 1116709 1218228 1273602 1698136 2233418 2334937 2436456 2547204 3350127 4466836 4669874 5094408 6700254 7004811 8933672 9339748 13400508 14009622 18679496 25684307 26801016 28019244 51368614 56038488 77052921 102737228 154105842 205474456 308211684 616423368