345414960 has 120 divisors (see below), whose sum is σ = 1265503824. Its totient is φ = 83735040.

The previous prime is 345414947. The next prime is 345414961. The reversal of 345414960 is 69414543.

345414960 is a `hidden beast` number, since 3 + 454 + 149 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×345414960² = 238622989183603200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (345414961) 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 23 ways as a sum of consecutive naturals, for example, 13887 + ... + 29726.

Almost surely, 2^345414960 is an apocalyptic number.

345414960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345414960 is an abundant number, since it is smaller than the sum of its proper divisors (920088864).

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

345414960 is a wasteful number, since it uses less digits than its factorization.

345414960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43643 (or 43634 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 345414960 is about 18585.3426118541. The cubic root of 345414960 is about 701.6389893852.

The spelling of 345414960 in words is "three hundred forty-five million, four hundred fourteen thousand, nine hundred sixty".