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312102 = 23272477
BaseRepresentation
bin1001100001100100110
3120212010100
41030030212
534441402
610404530
72436630
oct1141446
9525110
10312102
111a353a
12130746
13ac09b
1481a50
156271c
hex4c326

312102 has 24 divisors (see below), whose sum is σ = 773136. Its totient is φ = 89136.

The previous prime is 312101. The next prime is 312107. The reversal of 312102 is 201213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

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 312102.

It is not an unprimeable number, because it can be changed into a prime (312101) 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, 1113 + ... + 1364.

It is an arithmetic number, because the mean of its divisors is an integer number (32214).

2312102 is an apocalyptic number.

312102 is an abundant number, since it is smaller than the sum of its proper divisors (461034).

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

312102 is a wasteful number, since it uses less digits than its factorization.

312102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 312102 is about 558.6608989360. The cubic root of 312102 is about 67.8316191569.

Adding to 312102 its reverse (201213), we get a palindrome (513315).

Subtracting from 312102 its reverse (201213), we obtain a square (110889 = 3332).

It can be divided in two parts, 312 and 102, that added together give a palindrome (414).

The spelling of 312102 in words is "three hundred twelve thousand, one hundred two", and thus it is an iban number.

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 2477 4954 7431 14862 17339 22293 34678 44586 52017 104034 156051 312102