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321372 = 223279113
BaseRepresentation
bin1001110011101011100
3121022211200
41032131130
540240442
610515500
72505642
oct1163534
9538750
10321372
111aa4a7
12135b90
13b337c
1485192
156534c
hex4e75c

321372 has 36 divisors (see below), whose sum is σ = 829920. Its totient is φ = 104832.

The previous prime is 321371. The next prime is 321383. The reversal of 321372 is 273123.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321371) 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 11 ways as a sum of consecutive naturals, for example, 2788 + ... + 2900.

2321372 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 321372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414960).

321372 is an abundant number, since it is smaller than the sum of its proper divisors (508548).

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

321372 is a wasteful number, since it uses less digits than its factorization.

321372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 197 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 321372 is about 566.8968160080. The cubic root of 321372 is about 68.4966521176.

Adding to 321372 its reverse (273123), we get a palindrome (594495).

The spelling of 321372 in words is "three hundred twenty-one thousand, three hundred seventy-two", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 12 18 36 79 113 158 226 237 316 339 452 474 678 711 948 1017 1356 1422 2034 2844 4068 8927 17854 26781 35708 53562 80343 107124 160686 321372