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361404 = 223210039
BaseRepresentation
bin1011000001110111100
3200100202100
41120032330
543031104
611425100
73033441
oct1301674
9610670
10361404
1122758a
12155190
13c8664
14959c8
1572139
hex583bc

361404 has 18 divisors (see below), whose sum is σ = 913640. Its totient is φ = 120456.

The previous prime is 361373. The next prime is 361409. The reversal of 361404 is 404163.

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

It is a super-2 number, since 2×3614042 = 261225702432, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a nialpdrome in base 13.

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 361404.

It is not an unprimeable number, because it can be changed into a prime (361409) 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, 4984 + ... + 5055.

2361404 is an apocalyptic number.

It is an amenable number.

361404 is an abundant number, since it is smaller than the sum of its proper divisors (552236).

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

361404 is a wasteful number, since it uses less digits than its factorization.

361404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10049 (or 10044 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 361404 is about 601.1688614691. The cubic root of 361404 is about 71.2302253525.

Adding to 361404 its reverse (404163), we get a palindrome (765567).

The spelling of 361404 in words is "three hundred sixty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 10039 20078 30117 40156 60234 90351 120468 180702 361404