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23348952 = 23331131317
BaseRepresentation
bin101100100010…
…0011011011000
31121221020202000
41121010123120
521434131302
62152241000
7402314514
oct131043330
947836660
1023348952
11121a8460
1279a0160
134ab6863
14315b144
1520b331c
hex16446d8

23348952 has 128 divisors (see below), whose sum is σ = 73267200. Its totient is φ = 6825600.

The previous prime is 23348917. The next prime is 23348953. The reversal of 23348952 is 25984332.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23348953) 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, 73498 + ... + 73814.

It is an arithmetic number, because the mean of its divisors is an integer number (572400).

Almost surely, 223348952 is an apocalyptic number.

23348952 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 23348952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36633600).

23348952 is an abundant number, since it is smaller than the sum of its proper divisors (49918248).

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

23348952 is a wasteful number, since it uses less digits than its factorization.

23348952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 364 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 23348952 is about 4832.0753305386. The cubic root of 23348952 is about 285.8177070358.

The spelling of 23348952 in words is "twenty-three million, three hundred forty-eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 31 33 36 44 54 62 66 72 88 93 99 108 124 132 186 198 216 248 264 279 297 317 341 372 396 558 594 634 682 744 792 837 951 1023 1116 1188 1268 1364 1674 1902 2046 2232 2376 2536 2728 2853 3069 3348 3487 3804 4092 5706 6138 6696 6974 7608 8184 8559 9207 9827 10461 11412 12276 13948 17118 18414 19654 20922 22824 24552 27896 29481 31383 34236 36828 39308 41844 58962 62766 68472 73656 78616 83688 88443 94149 108097 117924 125532 176886 188298 216194 235848 251064 265329 324291 353772 376596 432388 530658 648582 707544 753192 864776 972873 1061316 1297164 1945746 2122632 2594328 2918619 3891492 5837238 7782984 11674476 23348952