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402204 = 223112277
BaseRepresentation
bin1100010001100011100
3202102201110
41202030130
5100332304
612342020
73263415
oct1421434
9672643
10402204
11255200
12174910
131110ba
14a680c
157e289
hex6231c

402204 has 36 divisors (see below), whose sum is σ = 1035272. Its totient is φ = 121440.

The previous prime is 402197. The next prime is 402221.

402204 is nontrivially palindromic in base 10.

402204 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 402204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1314 + ... + 1590.

2402204 is an apocalyptic number.

402204 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517636).

402204 is an abundant number, since it is smaller than the sum of its proper divisors (633068).

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

402204 is a wasteful number, since it uses less digits than its factorization.

402204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 402204 is about 634.1955534376. The cubic root of 402204 is about 73.8157089378.

It can be divided in two parts, 402 and 204, that added together give a palindrome (606).

The spelling of 402204 in words is "four hundred two thousand, two hundred four", and thus it is an iban number.

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 277 363 484 554 726 831 1108 1452 1662 3047 3324 6094 9141 12188 18282 33517 36564 67034 100551 134068 201102 402204