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345134016 = 2632599191
BaseRepresentation
bin10100100100100…
…101001111000000
3220001102121212100
4110210211033000
51201323242031
654125230400
711360406423
oct2444451700
9801377770
10345134016
11167901327
1297702400
1356671416
1433ba19ba
1520476de6
hex149253c0

345134016 has 42 divisors (see below), whose sum is σ = 989265992. Its totient is φ = 115044480.

The previous prime is 345133991. The next prime is 345134029. The reversal of 345134016 is 610431543.

345134016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3451340163 (a number of 27 digits) contains 333 as substring.

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 5 ways as a sum of consecutive naturals, for example, 299020 + ... + 300171.

Almost surely, 2345134016 is an apocalyptic number.

345134016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

345134016 is an abundant number, since it is smaller than the sum of its proper divisors (644131976).

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

345134016 is a wasteful number, since it uses less digits than its factorization.

345134016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599209 (or 599196 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 345134016 is about 18577.7828601801. The cubic root of 345134016 is about 701.4487112615.

Adding to 345134016 its reverse (610431543), we get a palindrome (955565559).

The spelling of 345134016 in words is "three hundred forty-five million, one hundred thirty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 599191 1198382 1797573 2396764 3595146 4793528 5392719 7190292 9587056 10785438 14380584 19174112 21570876 28761168 38348224 43141752 57522336 86283504 115044672 172567008 345134016