340930560 has 208 divisors, whose sum is σ = 1132323840. Its totient is φ = 87490560.

The previous prime is 340930553. The next prime is 340930567. The reversal of 340930560 is 65039043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (340930553) and next prime (340930567).

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

It is not an unprimeable number, because it can be changed into a prime (340930567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1904551 + ... + 1904729.

Almost surely, 2^340930560 is an apocalyptic number.

340930560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566161920).

340930560 is an abundant number, since it is smaller than the sum of its proper divisors (791393280).

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

340930560 is a wasteful number, since it uses less digits than its factorization.

340930560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 340930560 is about 18464.3050234771. The cubic root of 340930560 is about 698.5893769431.

The spelling of 340930560 in words is "three hundred forty million, nine hundred thirty thousand, five hundred sixty".