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32242968 = 23331131321
BaseRepresentation
bin111101011111…
…1110100011000
32020200010001000
41322333310120
531223233333
63111025000
7541026552
oct172776430
966603030
1032242968
111722268a
12a96b160
1368abba4
1443d44d2
152c6d713
hex1ebfd18

32242968 has 64 divisors (see below), whose sum is σ = 90424800. Its totient is φ = 10644480.

The previous prime is 32242967. The next prime is 32242979. The reversal of 32242968 is 86924223.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32242961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23748 + ... + 25068.

Almost surely, 232242968 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 32242968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45212400).

32242968 is an abundant number, since it is smaller than the sum of its proper divisors (58181832).

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

32242968 is a wasteful number, since it uses less digits than its factorization.

32242968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449 (or 1439 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 32242968 is about 5678.2891789693. The cubic root of 32242968 is about 318.2817012526.

The spelling of 32242968 in words is "thirty-two million, two hundred forty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 113 216 226 339 452 678 904 1017 1321 1356 2034 2642 2712 3051 3963 4068 5284 6102 7926 8136 10568 11889 12204 15852 23778 24408 31704 35667 47556 71334 95112 142668 149273 285336 298546 447819 597092 895638 1194184 1343457 1791276 2686914 3582552 4030371 5373828 8060742 10747656 16121484 32242968