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312742059 = 3726134877
BaseRepresentation
bin10010101001000…
…001000010101011
3210210110221110020
4102221001002223
51120030221214
651011051523
710515156300
oct2251010253
9723427406
10312742059
11150597813
12888a0ba3
134ca3c796
142d76d0a7
151c6c94a9
hex12a410ab

312742059 has 24 divisors (see below), whose sum is σ = 493035408. Its totient is φ = 175775040.

The previous prime is 312742057. The next prime is 312742127. The reversal of 312742059 is 950247213.

It is not a de Polignac number, because 312742059 - 21 = 312742057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312742057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8472 + ... + 26405.

It is an arithmetic number, because the mean of its divisors is an integer number (20543142).

Almost surely, 2312742059 is an apocalyptic number.

312742059 is a deficient number, since it is larger than the sum of its proper divisors (180293349).

312742059 is a wasteful number, since it uses less digits than its factorization.

312742059 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34955 (or 34948 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 312742059 is about 17684.5146667925. The cubic root of 312742059 is about 678.7795720525.

It can be divided in two parts, 31274 and 2059, that added together give a palindrome (33333).

The spelling of 312742059 in words is "three hundred twelve million, seven hundred forty-two thousand, fifty-nine".

Divisors: 1 3 7 21 49 61 147 183 427 1281 2989 8967 34877 104631 244139 732417 1708973 2127497 5126919 6382491 14892479 44677437 104247353 312742059