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23304313332 = 22377933721
BaseRepresentation
bin10101101101000010…
…111001100111110100
32020011010011210000000
4111231002321213310
5340211401011312
614412244151300
71453334252316
oct255502714764
966133153000
1023304313332
11997974a593
124624698530
13227513a321
1411b10a57b6
15915dc1adc
hex56d0b99f4

23304313332 has 96 divisors (see below), whose sum is σ = 61940569600. Its totient is φ = 7669546560.

The previous prime is 23304313267. The next prime is 23304313343. The reversal of 23304313332 is 23331340332.

It is a happy number.

23304313332 is a `hidden beast` number, since 23 + 304 + 3 + 1 + 3 + 332 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23304313296 and 23304313305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 674232 + ... + 707952.

Almost surely, 223304313332 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 23304313332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30970284800).

23304313332 is an abundant number, since it is smaller than the sum of its proper divisors (38636256268).

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

23304313332 is an equidigital number, since it uses as much as digits as its factorization.

23304313332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33825 (or 33805 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 23304313332 its reverse (23331340332), we get a palindrome (46635653664).

The spelling of 23304313332 in words is "twenty-three billion, three hundred four million, three hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 81 108 158 162 237 243 316 324 474 486 711 729 948 972 1422 1458 2133 2187 2844 2916 4266 4374 6399 8532 8748 12798 19197 25596 33721 38394 57591 67442 76788 101163 115182 134884 172773 202326 230364 303489 345546 404652 606978 691092 910467 1213956 1820934 2663959 2731401 3641868 5327918 5462802 7991877 8194203 10655836 10925604 15983754 16388406 23975631 24582609 31967508 32776812 47951262 49165218 71926893 73747827 95902524 98330436 143853786 147495654 215780679 287707572 294991308 431561358 647342037 863122716 1294684074 1942026111 2589368148 3884052222 5826078333 7768104444 11652156666 23304313332