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2013004344 = 2331323319049
BaseRepresentation
bin111011111111100…
…0000001000111000
312012021211012211110
41313333000020320
513110312114334
6531425400320
7100612153221
oct16777001070
95167735743
102013004344
11943319a5a
124821990a0
1326107b540
141514c2248
15bbad0ae9
hex77fc0238

2013004344 has 128 divisors (see below), whose sum is σ = 5838336000. Its totient is φ = 573281280.

The previous prime is 2013004333. The next prime is 2013004369. The reversal of 2013004344 is 4434003102.

It is a self number, because there is not a number n which added to its sum of digits gives 2013004344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217932 + ... + 226980.

It is an arithmetic number, because the mean of its divisors is an integer number (45612000).

Almost surely, 22013004344 is an apocalyptic number.

2013004344 is a gapful number since it is divisible by the number (24) 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 2013004344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2919168000).

2013004344 is an abundant number, since it is smaller than the sum of its proper divisors (3825331656).

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

2013004344 is a wasteful number, since it uses less digits than its factorization.

2013004344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9125 (or 9121 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2013004344 is about 44866.5169586408. The cubic root of 2013004344 is about 1262.6458937239.

Adding to 2013004344 its reverse (4434003102), we get a palindrome (6447007446).

The spelling of 2013004344 in words is "two billion, thirteen million, four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 31 39 46 52 62 69 78 92 93 104 124 138 156 184 186 248 276 299 312 372 403 552 598 713 744 806 897 1196 1209 1426 1612 1794 2139 2392 2418 2852 3224 3588 4278 4836 5704 7176 8556 9049 9269 9672 17112 18098 18538 27147 27807 36196 37076 54294 55614 72392 74152 108588 111228 117637 208127 217176 222456 235274 280519 352911 416254 470548 561038 624381 705822 832508 841557 941096 1122076 1248762 1411644 1665016 1683114 2244152 2497524 2705651 2823288 3366228 3646747 4995048 5411302 6451937 6732456 7293494 8116953 10822604 10940241 12903874 14586988 16233906 19355811 21645208 21880482 25807748 29173976 32467812 38711622 43760964 51615496 64935624 77423244 83875181 87521928 154846488 167750362 251625543 335500724 503251086 671001448 1006502172 2013004344