314292090 has 64 divisors (see below), whose sum is σ = 912777984. Its totient is φ = 67611648.

The previous prime is 314292089. The next prime is 314292119. The reversal of 314292090 is 90292413.

It is a super-3 number, since 3×314292090³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40449 + ... + 47588.

It is an arithmetic number, because the mean of its divisors is an integer number (14262156).

Almost surely, 2^314292090 is an apocalyptic number.

314292090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

314292090 is an abundant number, since it is smaller than the sum of its proper divisors (598485894).

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

314292090 is a wasteful number, since it uses less digits than its factorization.

314292090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88071.

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 314292090 is about 17728.2850270408. The cubic root of 314292090 is about 679.8991271939.

The spelling of 314292090 in words is "three hundred fourteen million, two hundred ninety-two thousand, ninety".