341456040 has 256 divisors, whose sum is σ = 1189209600. Its totient is φ = 87091200.

The previous prime is 341456009. The next prime is 341456057. The reversal of 341456040 is 40654143.

It is a super-3 number, since 3×341456040³ (a number of 27 digits) contains 333 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 = 341455995 and 341456013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4677444 + ... + 4677516.

It is an arithmetic number, because the mean of its divisors is an integer number (4645350).

Almost surely, 2^341456040 is an apocalyptic number.

341456040 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 341456040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594604800).

341456040 is an abundant number, since it is smaller than the sum of its proper divisors (847753560).

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

341456040 is a wasteful number, since it uses less digits than its factorization.

341456040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 341456040 is about 18478.5291622467. The cubic root of 341456040 is about 698.9481071830.

The spelling of 341456040 in words is "three hundred forty-one million, four hundred fifty-six thousand, forty".