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23313312 = 2533112223
BaseRepresentation
bin101100011101…
…1101110100000
31121212102212000
41120323232200
521432011222
62151404000
7402105561
oct130735640
947772760
1023313312
1112183700
127983600
134aa3579
14314c168
1520a79ac
hex163bba0

23313312 has 144 divisors (see below), whose sum is σ = 75075840. Its totient is φ = 7032960.

The previous prime is 23313299. The next prime is 23313331. The reversal of 23313312 is 21331332.

23313312 is a `hidden beast` number, since 2 + 331 + 331 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104433 + ... + 104655.

It is an arithmetic number, because the mean of its divisors is an integer number (521360).

Almost surely, 223313312 is an apocalyptic number.

23313312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37537920).

23313312 is an abundant number, since it is smaller than the sum of its proper divisors (51762528).

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

23313312 is a wasteful number, since it uses less digits than its factorization.

23313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 239 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 23313312 is about 4828.3860657574. The cubic root of 23313312 is about 285.6722082797.

Adding to 23313312 its reverse (21331332), we get a palindrome (44644644).

The spelling of 23313312 in words is "twenty-three million, three hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 121 132 144 176 198 216 223 242 264 288 297 352 363 396 432 446 484 528 594 669 726 792 864 892 968 1056 1089 1188 1338 1452 1584 1784 1936 2007 2178 2376 2453 2676 2904 3168 3267 3568 3872 4014 4356 4752 4906 5352 5808 6021 6534 7136 7359 8028 8712 9504 9812 10704 11616 12042 13068 14718 16056 17424 19624 21408 22077 24084 26136 26983 29436 32112 34848 39248 44154 48168 52272 53966 58872 64224 66231 78496 80949 88308 96336 104544 107932 117744 132462 161898 176616 192672 215864 235488 242847 264924 323796 353232 431728 485694 529848 647592 706464 728541 863456 971388 1059696 1295184 1457082 1942776 2119392 2590368 2914164 3885552 5828328 7771104 11656656 23313312