351312150 has 192 divisors, whose sum is σ = 1055932416. Its totient is φ = 75600000.

The previous prime is 351312121. The next prime is 351312161. The reversal of 351312150 is 51213153.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1399525 + ... + 1399775.

It is an arithmetic number, because the mean of its divisors is an integer number (5499648).

Almost surely, 2^351312150 is an apocalyptic number.

351312150 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 351312150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527966208).

351312150 is an abundant number, since it is smaller than the sum of its proper divisors (704620266).

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

351312150 is a wasteful number, since it uses less digits than its factorization.

351312150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 351312150 is about 18743.3228110706. The cubic root of 351312150 is about 705.6094523713.

The spelling of 351312150 in words is "three hundred fifty-one million, three hundred twelve thousand, one hundred fifty".