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345316608 = 283571361
BaseRepresentation
bin10100100101010…
…001110100000000
3220001202220100000
4110211101310000
51201400112413
654133200000
711362066650
oct2445216400
9801686300
10345316608
11167a1652a
1297790000
1356706570
1433c0c360
15204b1073
hex14951d00

345316608 has 432 divisors, whose sum is σ = 1291611776. Its totient is φ = 89579520.

The previous prime is 345316577. The next prime is 345316627. The reversal of 345316608 is 806613543.

345316608 is a `hidden beast` number, since 3 + 45 + 3 + 1 + 6 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5660898 + ... + 5660958.

Almost surely, 2345316608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345316608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645805888).

345316608 is an abundant number, since it is smaller than the sum of its proper divisors (946295168).

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

345316608 is an equidigital number, since it uses as much as digits as its factorization.

345316608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 86 counting only the distinct ones).

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

The square root of 345316608 is about 18582.6964674129. The cubic root of 345316608 is about 701.5723891540.

The spelling of 345316608 in words is "three hundred forty-five million, three hundred sixteen thousand, six hundred eight".