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402444 = 223271597
BaseRepresentation
bin1100010010000001100
3202110001100
41202100030
5100334234
612343100
73264210
oct1422014
9673040
10402444
112553a9
12174a90
13111243
14a6940
157e399
hex6240c

402444 has 36 divisors (see below), whose sum is σ = 1163344. Its totient is φ = 114912.

The previous prime is 402443. The next prime is 402487. The reversal of 402444 is 444204.

It is a happy number.

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

It is a super-2 number, since 2×4024442 = 323922346272, which contains 22 as substring.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 402444.

It is not an unprimeable number, because it can be changed into a prime (402443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 547 + ... + 1050.

2402444 is an apocalyptic number.

It is an amenable number.

402444 is an abundant number, since it is smaller than the sum of its proper divisors (760900).

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

402444 is a wasteful number, since it uses less digits than its factorization.

402444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 402444 is about 634.3847413045. The cubic root of 402444 is about 73.8303882610.

Adding to 402444 its reverse (444204), we get a palindrome (846648).

The spelling of 402444 in words is "four hundred two thousand, four hundred forty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1597 3194 4791 6388 9582 11179 14373 19164 22358 28746 33537 44716 57492 67074 100611 134148 201222 402444