340310400 has 96 divisors (see below), whose sum is σ = 1120929000. Its totient is φ = 90746880.

The previous prime is 340310371. The next prime is 340310413. The reversal of 340310400 is 4013043.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×340310400² = 231622336696320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 340310400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8125 + ... + 27324.

Almost surely, 2^340310400 is an apocalyptic number.

340310400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340310400 is an abundant number, since it is smaller than the sum of its proper divisors (780618600).

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

340310400 is a wasteful number, since it uses less digits than its factorization.

340310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35476 (or 35459 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 340310400 is about 18447.5038961915. The cubic root of 340310400 is about 698.1655368283.

Adding to 340310400 its reverse (4013043), we get a palindrome (344323443).

The spelling of 340310400 in words is "three hundred forty million, three hundred ten thousand, four hundred".