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312104 = 23133001
BaseRepresentation
bin1001100001100101000
3120212010102
41030030220
534441404
610404532
72436632
oct1141450
9525112
10312104
111a3541
12130748
13ac0a0
1481a52
156271e
hex4c328

312104 has 16 divisors (see below), whose sum is σ = 630420. Its totient is φ = 144000.

The previous prime is 312101. The next prime is 312107. The reversal of 312104 is 401213.

It is a happy number.

312104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (312101) and next prime (312107).

It can be written as a sum of positive squares in 2 ways, for example, as 302500 + 9604 = 550^2 + 98^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 312104.

It is not an unprimeable number, because it can be changed into a prime (312101) 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 3 ways as a sum of consecutive naturals, for example, 1397 + ... + 1604.

2312104 is an apocalyptic number.

It is an amenable number.

312104 is an abundant number, since it is smaller than the sum of its proper divisors (318316).

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

312104 is a wasteful number, since it uses less digits than its factorization.

312104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3020 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 312104 is about 558.6626889278. The cubic root of 312104 is about 67.8317640485.

Adding to 312104 its reverse (401213), we get a palindrome (713317).

The spelling of 312104 in words is "three hundred twelve thousand, one hundred four", and thus it is an iban number.

Divisors: 1 2 4 8 13 26 52 104 3001 6002 12004 24008 39013 78026 156052 312104