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23345088 = 2631347199
BaseRepresentation
bin101100100001…
…1011111000000
31121221001102220
41121003133000
521434020323
62152211040
7402300324
oct131033700
947831386
1023345088
11121a5568
127999a80
134ab4b80
143159984
1520b20e3
hex16437c0

23345088 has 112 divisors (see below), whose sum is σ = 68275200. Its totient is φ = 6994944.

The previous prime is 23345083. The next prime is 23345089. The reversal of 23345088 is 88054332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23345081) 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 15 ways as a sum of consecutive naturals, for example, 117213 + ... + 117411.

It is an arithmetic number, because the mean of its divisors is an integer number (609600).

Almost surely, 223345088 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 23345088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34137600).

23345088 is an abundant number, since it is smaller than the sum of its proper divisors (44930112).

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

23345088 is a wasteful number, since it uses less digits than its factorization.

23345088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 23345088 is about 4831.6754857917. The cubic root of 23345088 is about 285.8019395822.

The spelling of 23345088 in words is "twenty-three million, three hundred forty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 47 48 52 64 78 94 96 104 141 156 188 192 199 208 282 312 376 398 416 564 597 611 624 752 796 832 1128 1194 1222 1248 1504 1592 1833 2256 2388 2444 2496 2587 3008 3184 3666 4512 4776 4888 5174 6368 7332 7761 9024 9353 9552 9776 10348 12736 14664 15522 18706 19104 19552 20696 28059 29328 31044 37412 38208 39104 41392 56118 58656 62088 74824 82784 112236 117312 121589 124176 149648 165568 224472 243178 248352 299296 364767 448944 486356 496704 598592 729534 897888 972712 1459068 1795776 1945424 2918136 3890848 5836272 7781696 11672544 23345088