345508950 has 96 divisors (see below), whose sum is σ = 898513920. Its totient is φ = 87753600.

The previous prime is 345508903. The next prime is 345508957. The reversal of 345508950 is 59805543.

It is a junction number, because it is equal to n+sod(n) for n = 345508899 and 345508908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345508957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 310996 + ... + 312104.

It is an arithmetic number, because the mean of its divisors is an integer number (9359520).

Almost surely, 2^345508950 is an apocalyptic number.

345508950 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 345508950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449256960).

345508950 is an abundant number, since it is smaller than the sum of its proper divisors (553004970).

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

345508950 is a wasteful number, since it uses less digits than its factorization.

345508950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The square root of 345508950 is about 18587.8710453887. The cubic root of 345508950 is about 701.7026240233.

The spelling of 345508950 in words is "three hundred forty-five million, five hundred eight thousand, nine hundred fifty".