Search a number
-
+
23946312 = 23313234771
BaseRepresentation
bin101101101011…
…0010001001000
31200001121011110
41123112101020
522112240222
62213130320
7410353215
oct133262110
950047143
1023946312
1112576245
1280299a0
134c65720
143274b0c
15218030c
hex16d6448

23946312 has 128 divisors (see below), whose sum is σ = 69672960. Its totient is φ = 6800640.

The previous prime is 23946281. The next prime is 23946317. The reversal of 23946312 is 21364932.

It is a self number, because there is not a number n which added to its sum of digits gives 23946312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23946317) 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 31 ways as a sum of consecutive naturals, for example, 337237 + ... + 337307.

It is an arithmetic number, because the mean of its divisors is an integer number (544320).

Almost surely, 223946312 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 23946312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34836480).

23946312 is an abundant number, since it is smaller than the sum of its proper divisors (45726648).

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

23946312 is a wasteful number, since it uses less digits than its factorization.

23946312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 159 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 23946312 is about 4893.4969091642. The cubic root of 23946312 is about 288.2346659924.

The spelling of 23946312 in words is "twenty-three million, nine hundred forty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 47 52 69 71 78 92 94 104 138 141 142 156 184 188 213 276 282 284 299 312 376 426 552 564 568 598 611 852 897 923 1081 1128 1196 1222 1633 1704 1794 1833 1846 2162 2392 2444 2769 3243 3266 3337 3588 3666 3692 4324 4888 4899 5538 6486 6532 6674 7176 7332 7384 8648 9798 10011 11076 12972 13064 13348 14053 14664 19596 20022 21229 22152 25944 26696 28106 39192 40044 42159 42458 43381 56212 63687 76751 80088 84318 84916 86762 112424 127374 130143 153502 168636 169832 173524 230253 254748 260286 307004 337272 347048 460506 509496 520572 614008 921012 997763 1041144 1842024 1995526 2993289 3991052 5986578 7982104 11973156 23946312