340147872 has 108 divisors (see below), whose sum is σ = 1000318410. Its totient is φ = 109635840.

The previous prime is 340147859. The next prime is 340147909. The reversal of 340147872 is 278741043.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 189447696 + 150700176 = 13764^2 + 12276^2 .

It is a super-2 number, since 2×340147872² = 231401149652256768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 276154 + ... + 277382.

Almost surely, 2^340147872 is an apocalyptic number.

340147872 is a gapful number since it is divisible by the number (32) 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 340147872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500159205).

340147872 is an abundant number, since it is smaller than the sum of its proper divisors (660170538).

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

340147872 is a wasteful number, since it uses less digits than its factorization.

340147872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 340147872 is about 18443.0982212859. The cubic root of 340147872 is about 698.0543740807.

The spelling of 340147872 in words is "three hundred forty million, one hundred forty-seven thousand, eight hundred seventy-two".