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345318336 = 26331137491
BaseRepresentation
bin10100100101010…
…010001111000000
3220001202222201000
4110211102033000
51201400141321
654133212000
711362104666
oct2445221700
9801688630
10345318336
11167a17860
1297791000
135670729c
1433c0cc36
15204b1826
hex149523c0

345318336 has 224 divisors, whose sum is σ = 1139708160. Its totient is φ = 101606400.

The previous prime is 345318329. The next prime is 345318403. The reversal of 345318336 is 633813543.

345318336 is a `hidden beast` number, since 3 + 4 + 5 + 318 + 336 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 345318336.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 703051 + ... + 703541.

Almost surely, 2345318336 is an apocalyptic number.

345318336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345318336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569854080).

345318336 is an abundant number, since it is smaller than the sum of its proper divisors (794389824).

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

345318336 is a wasteful number, since it uses less digits than its factorization.

345318336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 544 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 345318336 is about 18582.7429622217. The cubic root of 345318336 is about 701.5735593989.

The spelling of 345318336 in words is "three hundred forty-five million, three hundred eighteen thousand, three hundred thirty-six".