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2364144312 = 2331967223347
BaseRepresentation
bin1000110011101001…
…1111101010111000
320002202112222022110
42030322133222320
514320210104222
61030331452320
7112404616005
oct21472375270
96082488273
102364144312
111003552682
1255b8b70a0
132b8a4357a
14185da88ac
15dc84230c
hex8ce9fab8

2364144312 has 128 divisors (see below), whose sum is σ = 6360883200. Its totient is φ = 730021248.

The previous prime is 2364144301. The next prime is 2364144313. The reversal of 2364144312 is 2134414632.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2364144312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2364144313) 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, 6812923 + ... + 6813269.

It is an arithmetic number, because the mean of its divisors is an integer number (49694400).

Almost surely, 22364144312 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 2364144312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3180441600).

2364144312 is an abundant number, since it is smaller than the sum of its proper divisors (3996738888).

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

2364144312 is a wasteful number, since it uses less digits than its factorization.

2364144312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 661 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 2364144312 is about 48622.4671525417. The cubic root of 2364144312 is about 1332.1649238023.

Adding to 2364144312 its reverse (2134414632), we get a palindrome (4498558944).

The spelling of 2364144312 in words is "two billion, three hundred sixty-four million, one hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 67 76 114 134 152 201 223 228 268 347 402 446 456 536 669 694 804 892 1041 1273 1338 1388 1608 1784 2082 2546 2676 2776 3819 4164 4237 5092 5352 6593 7638 8328 8474 10184 12711 13186 14941 15276 16948 19779 23249 25422 26372 29882 30552 33896 39558 44823 46498 50844 52744 59764 69747 77381 79116 89646 92996 101688 119528 139494 154762 158232 179292 185992 232143 278988 283879 309524 358584 441731 464286 557976 567758 619048 851637 883462 928572 1135516 1325193 1470239 1703274 1766924 1857144 2271032 2650386 2940478 3406548 3533848 4410717 5184527 5300772 5880956 6813096 8821434 10369054 10601544 11761912 15553581 17642868 20738108 31107162 35285736 41476216 62214324 98506013 124428648 197012026 295518039 394024052 591036078 788048104 1182072156 2364144312