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464004 = 223212889
BaseRepresentation
bin1110001010010000100
3212120111100
41301102010
5104322004
613540100
73641532
oct1612204
9776440
10464004
11297682
121a4630
13133278
14c1152
1592739
hex71484

464004 has 18 divisors (see below), whose sum is σ = 1172990. Its totient is φ = 154656.

The previous prime is 464003. The next prime is 464011. The reversal of 464004 is 400464.

It can be written as a sum of positive squares in only one way, i.e., 419904 + 44100 = 648^2 + 210^2 .

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 an Ulam number.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6409 + ... + 6480.

2464004 is an apocalyptic number.

It is an amenable number.

464004 is an abundant number, since it is smaller than the sum of its proper divisors (708986).

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

464004 is a wasteful number, since it uses less digits than its factorization.

464004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12899 (or 12894 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 464004 is about 681.1783907318. The cubic root of 464004 is about 77.4177552761.

Adding to 464004 its reverse (400464), we get a palindrome (864468).

The spelling of 464004 in words is "four hundred sixty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 12889 25778 38667 51556 77334 116001 154668 232002 464004