313067430 has 120 divisors (see below), whose sum is σ = 911937312. Its totient is φ = 77029056.

The previous prime is 313067429. The next prime is 313067437. The reversal of 313067430 is 34760313.

It is a happy number.

It is a super-2 number, since 2×313067430² = 196022431453609800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 313067394 and 313067403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313067437) 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 59 ways as a sum of consecutive naturals, for example, 135747 + ... + 138033.

Almost surely, 2^313067430 is an apocalyptic number.

313067430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313067430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455968656).

313067430 is an abundant number, since it is smaller than the sum of its proper divisors (598869882).

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

313067430 is a wasteful number, since it uses less digits than its factorization.

313067430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 313067430 is about 17693.7115948011. The cubic root of 313067430 is about 679.0148869974.

The spelling of 313067430 in words is "three hundred thirteen million, sixty-seven thousand, four hundred thirty".