Search a number
-
+
372372 = 2237111331
BaseRepresentation
bin1011010111010010100
3200220210120
41122322110
543403442
611551540
73110430
oct1327224
9626716
10372372
11234850
1215b5b0
13100650
14999c0
15754ec
hex5ae94

372372 has 96 divisors (see below), whose sum is σ = 1204224. Its totient is φ = 86400.

The previous prime is 372371. The next prime is 372377. The reversal of 372372 is 273273.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 372372.

It is not an unprimeable number, because it can be changed into a prime (372371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11997 + ... + 12027.

It is an arithmetic number, because the mean of its divisors is an integer number (12544).

2372372 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 372372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602112).

372372 is an abundant number, since it is smaller than the sum of its proper divisors (831852).

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

372372 is a wasteful number, since it uses less digits than its factorization.

372372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 67 counting only the distinct ones).

The product of its digits is 1764, while the sum is 24.

The square root of 372372 is about 610.2229100911. Note that the first 3 decimals coincide. The cubic root of 372372 is about 71.9436287160.

Subtracting from 372372 its reverse (273273), we obtain a palindrome (99099).

The spelling of 372372 in words is "three hundred seventy-two thousand, three hundred seventy-two", and thus it is an iban number.

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 31 33 39 42 44 52 62 66 77 78 84 91 93 124 132 143 154 156 182 186 217 231 273 286 308 341 364 372 403 429 434 462 546 572 651 682 806 858 868 924 1001 1023 1092 1209 1302 1364 1612 1716 2002 2046 2387 2418 2604 2821 3003 4004 4092 4433 4774 4836 5642 6006 7161 8463 8866 9548 11284 12012 13299 14322 16926 17732 26598 28644 31031 33852 53196 62062 93093 124124 186186 372372