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23382352 = 2472329313
BaseRepresentation
bin101100100110…
…0100101010000
31121222221120001
41121030211100
521441213402
62153055344
7402514060
oct131144520
947887501
1023382352
1112220564
1279b7554
134ac8b16
1431693a0
1520bd187
hex164c950

23382352 has 80 divisors (see below), whose sum is σ = 56067840. Its totient is φ = 9225216.

The previous prime is 23382343. The next prime is 23382371. The reversal of 23382352 is 25328332.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 23382352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74548 + ... + 74860.

It is an arithmetic number, because the mean of its divisors is an integer number (700848).

Almost surely, 223382352 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 23382352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28033920).

23382352 is an abundant number, since it is smaller than the sum of its proper divisors (32685488).

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

23382352 is a wasteful number, since it uses less digits than its factorization.

23382352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 374 counting only the distinct ones).

The product of its digits is 8640, while the sum is 28.

The square root of 23382352 is about 4835.5301674170. The cubic root of 23382352 is about 285.9539267559.

It can be divided in two parts, 23 and 382352, that added together give a triangular number (382375 = T874).

The spelling of 23382352 in words is "twenty-three million, three hundred eighty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 23 28 29 46 56 58 92 112 116 161 184 203 232 313 322 368 406 464 626 644 667 812 1252 1288 1334 1624 2191 2504 2576 2668 3248 4382 4669 5008 5336 7199 8764 9077 9338 10672 14398 17528 18154 18676 28796 35056 36308 37352 50393 57592 63539 72616 74704 100786 115184 127078 145232 201572 208771 254156 403144 417542 508312 806288 835084 1016624 1461397 1670168 2922794 3340336 5845588 11691176 23382352