Search a number
-
+
2323952736 = 253712132851
BaseRepresentation
bin1000101010000100…
…1011010001100000
312222221221000211120
42022201023101200
514224412441421
61022334212240
7111406162260
oct21241132140
95887830746
102323952736
11a928a10a6
1254a354080
132b0610781
141809057a0
15d90538c6
hex8a84b460

2323952736 has 96 divisors (see below), whose sum is σ = 6980053248. Its totient is φ = 663206400.

The previous prime is 2323952731. The next prime is 2323952767. The reversal of 2323952736 is 6372593232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2323952731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 813711 + ... + 816561.

It is an arithmetic number, because the mean of its divisors is an integer number (72708888).

Almost surely, 22323952736 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 2323952736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3490026624).

2323952736 is an abundant number, since it is smaller than the sum of its proper divisors (4656100512).

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

2323952736 is a wasteful number, since it uses less digits than its factorization.

2323952736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4084 (or 4076 counting only the distinct ones).

The product of its digits is 408240, while the sum is 42.

The square root of 2323952736 is about 48207.3929600015. The cubic root of 2323952736 is about 1324.5725899946.

The spelling of 2323952736 in words is "two billion, three hundred twenty-three million, nine hundred fifty-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1213 2426 2851 3639 4852 5702 7278 8491 8553 9704 11404 14556 16982 17106 19408 19957 22808 25473 29112 33964 34212 38816 39914 45616 50946 58224 59871 67928 68424 79828 91232 101892 116448 119742 135856 136848 159656 203784 239484 271712 273696 319312 407568 478968 638624 815136 957936 1915872 3458263 6916526 10374789 13833052 20749578 24207841 27666104 41499156 48415682 55332208 72623523 82998312 96831364 110664416 145247046 165996624 193662728 290494092 331993248 387325456 580988184 774650912 1161976368 2323952736