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2344113684 = 22321189227293
BaseRepresentation
bin1000101110111000…
…0101011000010100
320001100212022110100
42023232011120110
514300043114214
61024334254100
7112042431453
oct21356053024
96040768410
102344113684
11aa3211340
12555057330
132b484c223
14183472b9a
15dabd7309
hex8bb85614

2344113684 has 144 divisors (see below), whose sum is σ = 6587904960. Its totient is φ = 696875520.

The previous prime is 2344113683. The next prime is 2344113689. The reversal of 2344113684 is 4863114432.

2344113684 is a `hidden beast` number, since 2 + 3 + 441 + 136 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2344113683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8000242 + ... + 8000534.

It is an arithmetic number, because the mean of its divisors is an integer number (45749340).

Almost surely, 22344113684 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 2344113684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293952480).

2344113684 is an abundant number, since it is smaller than the sum of its proper divisors (4243791276).

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

2344113684 is a wasteful number, since it uses less digits than its factorization.

2344113684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 625 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 2344113684 is about 48416.0477940941. The cubic root of 2344113684 is about 1328.3919140438.

The spelling of 2344113684 in words is "two billion, three hundred forty-four million, one hundred thirteen thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 89 99 132 178 198 227 267 293 356 396 454 534 586 681 801 879 908 979 1068 1172 1362 1602 1758 1958 2043 2497 2637 2724 2937 3204 3223 3516 3916 4086 4994 5274 5874 6446 7491 8172 8811 9669 9988 10548 11748 12892 14982 17622 19338 20203 22473 26077 29007 29964 35244 38676 40406 44946 52154 58014 60609 66511 78231 80812 89892 104308 116028 121218 133022 156462 181827 199533 222233 234693 242436 266044 286847 312924 363654 399066 444466 469386 573694 598599 666699 727308 731621 798132 860541 888932 938772 1147388 1197198 1333398 1463242 1721082 2000097 2194863 2394396 2581623 2666796 2926484 3442164 4000194 4389726 5163246 5919479 6584589 8000388 8779452 10326492 11838958 13169178 17758437 23677916 26338356 35516874 53275311 65114269 71033748 106550622 130228538 195342807 213101244 260457076 390685614 586028421 781371228 1172056842 2344113684