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2344082112 = 26333143759
BaseRepresentation
bin1000101110110111…
…1101101011000000
320001100210201011000
42023231331223000
514300041111422
61024333452000
7112042240431
oct21355755300
96040721130
102344082112
11aa319a649
12555041000
132b483aa48
14183465488
15dabcccac
hex8bb7dac0

2344082112 has 112 divisors (see below), whose sum is σ = 7113625600. Its totient is φ = 756138240.

The previous prime is 2344082087. The next prime is 2344082113. The reversal of 2344082112 is 2112804432.

2344082112 is a `hidden beast` number, since 2 + 3 + 440 + 8 + 211 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2344082113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31689 + ... + 75447.

Almost surely, 22344082112 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 2344082112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556812800).

2344082112 is an abundant number, since it is smaller than the sum of its proper divisors (4769543488).

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

2344082112 is a wasteful number, since it uses less digits than its factorization.

2344082112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43811 (or 43795 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2344082112 is about 48415.7217440781. The cubic root of 2344082112 is about 1328.3859501439.

Adding to 2344082112 its reverse (2112804432), we get a palindrome (4456886544).

The spelling of 2344082112 in words is "two billion, three hundred forty-four million, eighty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 144 186 192 216 248 279 288 372 432 496 558 576 744 837 864 992 1116 1488 1674 1728 1984 2232 2976 3348 4464 5952 6696 8928 13392 17856 26784 43759 53568 87518 131277 175036 262554 350072 393831 525108 700144 787662 1050216 1181493 1356529 1400288 1575324 2100432 2362986 2713058 2800576 3150648 4069587 4200864 4725972 5426116 6301296 8139174 8401728 9451944 10852232 12208761 12602592 16278348 18903888 21704464 24417522 25205184 32556696 36626283 37807776 43408928 48835044 65113392 73252566 75615552 86817856 97670088 130226784 146505132 195340176 260453568 293010264 390680352 586020528 781360704 1172041056 2344082112