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345133264 = 2472440221
BaseRepresentation
bin10100100100100…
…101000011010000
3220001102120211111
4110210211003100
51201323231024
654125223104
711360404300
oct2444450320
9801376744
10345133264
11167900803
1297701a94
1356670c88
1433ba1600
1520476a94
hex149250d0

345133264 has 30 divisors (see below), whose sum is σ = 777872274. Its totient is φ = 147913920.

The previous prime is 345133259. The next prime is 345133273. The reversal of 345133264 is 462331543.

It can be written as a sum of positive squares in only one way, i.e., 291726400 + 53406864 = 17080^2 + 7308^2 .

It is a super-3 number, since 3×3451332643 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 219327 + ... + 220894.

Almost surely, 2345133264 is an apocalyptic number.

It is an amenable number.

345133264 is an abundant number, since it is smaller than the sum of its proper divisors (432739010).

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

345133264 is a wasteful number, since it uses less digits than its factorization.

345133264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440243 (or 440230 counting only the distinct ones).

The product of its digits is 25920, while the sum is 31.

The square root of 345133264 is about 18577.7626209401. The cubic root of 345133264 is about 701.4482018074.

The spelling of 345133264 in words is "three hundred forty-five million, one hundred thirty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 440221 880442 1760884 3081547 3521768 6163094 7043536 12326188 21570829 24652376 43141658 49304752 86283316 172566632 345133264