Search a number
-
+
23648307344 = 2431411162879
BaseRepresentation
bin10110000001100011…
…001000100010010000
32021001002110111001222
4112001203020202100
5341412431313334
614510333144212
71465012203314
oct260143104220
967032414058
1023648307344
11a035942362
1246bb92b068
1322cb49c88c
141204a4bb44
159361c0d2e
hex5818c8890

23648307344 has 40 divisors (see below), whose sum is σ = 48450232320. Its totient is φ = 11163628800.

The previous prime is 23648307301. The next prime is 23648307349. The reversal of 23648307344 is 44370384632.

It is a junction number, because it is equal to n+sod(n) for n = 23648307295 and 23648307304.

It is not an unprimeable number, because it can be changed into a prime (23648307349) 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 7 ways as a sum of consecutive naturals, for example, 561104 + ... + 601775.

It is an arithmetic number, because the mean of its divisors is an integer number (1211255808).

Almost surely, 223648307344 is an apocalyptic number.

It is an amenable number.

23648307344 is an abundant number, since it is smaller than the sum of its proper divisors (24801924976).

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

23648307344 is a wasteful number, since it uses less digits than its factorization.

23648307344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162959 (or 1162953 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 44.

The spelling of 23648307344 in words is "twenty-three billion, six hundred forty-eight million, three hundred seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 31 41 62 82 124 164 248 328 496 656 1271 2542 5084 10168 20336 1162879 2325758 4651516 9303032 18606064 36049249 47678039 72098498 95356078 144196996 190712156 288393992 381424312 576787984 762848624 1478019209 2956038418 5912076836 11824153672 23648307344