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313239114 = 232374710007
BaseRepresentation
bin10010101010111…
…010011001001010
3210211102012021200
4102222322121022
51120142122424
651025445030
710522326366
oct2252723112
9724365250
10313239114
111508a7201
1288aa0776
134cb84ab6
142d85c2a6
151c7768c9
hex12aba64a

313239114 has 48 divisors (see below), whose sum is σ = 711929088. Its totient is φ = 99419616.

The previous prime is 313239107. The next prime is 313239119. The reversal of 313239114 is 411932313.

313239114 is a `hidden beast` number, since 313 + 239 + 114 = 666.

313239114 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (313239119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26299 + ... + 36305.

It is an arithmetic number, because the mean of its divisors is an integer number (14831856).

Almost surely, 2313239114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313239114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355964544).

313239114 is an abundant number, since it is smaller than the sum of its proper divisors (398689974).

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

313239114 is a wasteful number, since it uses less digits than its factorization.

313239114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10099 (or 10096 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 313239114 is about 17698.5624839985. The cubic root of 313239114 is about 679.1389866613.

The spelling of 313239114 in words is "three hundred thirteen million, two hundred thirty-nine thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 37 47 74 94 111 141 222 282 333 423 666 846 1739 3478 5217 10007 10434 15651 20014 30021 31302 60042 90063 180126 370259 470329 740518 940658 1110777 1410987 2221554 2821974 3332331 4232961 6664662 8465922 17402173 34804346 52206519 104413038 156619557 313239114