345414510 has 128 divisors (see below), whose sum is σ = 1059609600. Its totient is φ = 78433920.

The previous prime is 345414491. The next prime is 345414539. The reversal of 345414510 is 15414543.

It is a happy number.

It is a super-2 number, since 2×345414510² = 238622367437080200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

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, 337800 + ... + 338820.

It is an arithmetic number, because the mean of its divisors is an integer number (8278200).

Almost surely, 2^345414510 is an apocalyptic number.

345414510 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345414510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529804800).

345414510 is an abundant number, since it is smaller than the sum of its proper divisors (714195090).

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

345414510 is a wasteful number, since it uses less digits than its factorization.

345414510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 345414510 is about 18585.3305055358. The cubic root of 345414510 is about 701.6386846911.

The spelling of 345414510 in words is "three hundred forty-five million, four hundred fourteen thousand, five hundred ten".