Search a number
-
+
23344708032 = 263419722859
BaseRepresentation
bin10101101111011100…
…111111100111000000
32020020221012001010000
4111233130333213000
5340302221124112
614420250040000
71454334513162
oct255734774700
966227161100
1023344708032
11999a52a738
124636119000
132280611709
1411b65bc932
159197007dc
hex56f73f9c0

23344708032 has 140 divisors (see below), whose sum is σ = 69555344760. Its totient is φ = 7741730304.

The previous prime is 23344707983. The next prime is 23344708063. The reversal of 23344708032 is 23080744332.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1009819 + ... + 1032677.

Almost surely, 223344708032 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 23344708032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34777672380).

23344708032 is an abundant number, since it is smaller than the sum of its proper divisors (46210636728).

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

23344708032 is a wasteful number, since it uses less digits than its factorization.

23344708032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23080 (or 23061 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 23344708032 in words is "twenty-three billion, three hundred forty-four million, seven hundred eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 197 216 288 324 394 432 576 591 648 788 864 1182 1296 1576 1728 1773 2364 2592 3152 3546 4728 5184 5319 6304 7092 9456 10638 12608 14184 15957 18912 21276 22859 28368 31914 37824 42552 45718 56736 63828 68577 85104 91436 113472 127656 137154 170208 182872 205731 255312 274308 340416 365744 411462 510624 548616 617193 731488 822924 1021248 1097232 1234386 1462976 1645848 1851579 2194464 2468772 3291696 3703158 4388928 4503223 4937544 6583392 7406316 9006446 9875088 13166784 13509669 14812632 18012892 19750176 27019338 29625264 36025784 39500352 40529007 54038676 59250528 72051568 81058014 108077352 118501056 121587021 144103136 162116028 216154704 243174042 288206272 324232056 364761063 432309408 486348084 648464112 729522126 864618816 972696168 1296928224 1459044252 1945392336 2593856448 2918088504 3890784672 5836177008 7781569344 11672354016 23344708032