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312346053 = 32233148949
BaseRepresentation
bin10010100111100…
…000010111000101
3210202201211020100
4102213200113011
51114430033203
650554354313
710511616615
oct2247402705
9722654210
10312346053
11150347238
128872b999
134c931466
142d6a8a45
151c64bea3
hex129e05c5

312346053 has 12 divisors (see below), whose sum is σ = 453105900. Its totient is φ = 207335616.

The previous prime is 312346019. The next prime is 312346063. The reversal of 312346053 is 350643213.

It is a happy number.

312346053 is a `hidden beast` number, since 31 + 23 + 4 + 605 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 184362084 + 127983969 = 13578^2 + 11313^2 .

It is not a de Polignac number, because 312346053 - 28 = 312345797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312346063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72378 + ... + 76571.

It is an arithmetic number, because the mean of its divisors is an integer number (37758825).

Almost surely, 2312346053 is an apocalyptic number.

It is an amenable number.

312346053 is a deficient number, since it is larger than the sum of its proper divisors (140759847).

312346053 is a wasteful number, since it uses less digits than its factorization.

312346053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149188 (or 149185 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 312346053 is about 17673.3147145633. The cubic root of 312346053 is about 678.4929521255.

Adding to 312346053 its reverse (350643213), we get a palindrome (662989266).

The spelling of 312346053 in words is "three hundred twelve million, three hundred forty-six thousand, fifty-three".

Divisors: 1 3 9 233 699 2097 148949 446847 1340541 34705117 104115351 312346053