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23301312 = 263157773
BaseRepresentation
bin101100011100…
…0110011000000
31121211211101120
41120320303000
521431120222
62151232240
7402025566
oct130706300
947754346
1023301312
1112175691
127978680
134a9ac78
143147a36
1520a415c
hex1638cc0

23301312 has 56 divisors (see below), whose sum is σ = 62124336. Its totient is φ = 7707648.

The previous prime is 23301307. The next prime is 23301319. The reversal of 23301312 is 21310332.

It is a super-2 number, since 2×233013122 = 1085902281842688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23301291 and 23301300.

It is not an unprimeable number, because it can be changed into a prime (23301319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29758 + ... + 30530.

Almost surely, 223301312 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 23301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31062168).

23301312 is an abundant number, since it is smaller than the sum of its proper divisors (38823024).

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

23301312 is a wasteful number, since it uses less digits than its factorization.

23301312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 23301312 is about 4827.1432545554. The cubic root of 23301312 is about 285.6231854319.

Adding to 23301312 its reverse (21310332), we get a palindrome (44611644).

The spelling of 23301312 in words is "twenty-three million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 157 192 314 471 628 773 942 1256 1546 1884 2319 2512 3092 3768 4638 5024 6184 7536 9276 10048 12368 15072 18552 24736 30144 37104 49472 74208 121361 148416 242722 364083 485444 728166 970888 1456332 1941776 2912664 3883552 5825328 7767104 11650656 23301312