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402372 = 223211177
BaseRepresentation
bin1100010001111000100
3202102221200
41202033010
5100333442
612342500
73264045
oct1421704
9672850
10402372
11255343
12174a30
131111b9
14a68cc
157e34c
hex623c4

402372 has 18 divisors (see below), whose sum is σ = 1017198. Its totient is φ = 134112.

The previous prime is 402371. The next prime is 402379. The reversal of 402372 is 273204.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 389376 + 12996 = 624^2 + 114^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is not an unprimeable number, because it can be changed into a prime (402371) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5553 + ... + 5624.

It is an arithmetic number, because the mean of its divisors is an integer number (56511).

2402372 is an apocalyptic number.

It is an amenable number.

402372 is an abundant number, since it is smaller than the sum of its proper divisors (614826).

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

402372 is a wasteful number, since it uses less digits than its factorization.

402372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11187 (or 11182 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 402372 is about 634.3279908691. The cubic root of 402372 is about 73.8259850770.

Adding to 402372 its reverse (273204), we get a palindrome (675576).

It can be divided in two parts, 4023 and 72, that added together give a triangular number (4095 = T90).

The spelling of 402372 in words is "four hundred two thousand, three hundred seventy-two", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 12 18 36 11177 22354 33531 44708 67062 100593 134124 201186 402372