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345615116 = 227112774051
BaseRepresentation
bin10100100110011…
…010101100001100
3220002100001210212
4110212122230030
51201434140431
654143421552
711364452150
oct2446325414
9802301725
10345615116
111680aa830
12978b48b8
13567ac3b2
1433c89060
152051e72b
hex1499ab0c

345615116 has 48 divisors (see below), whose sum is σ = 756978432. Its totient is φ = 134136000.

The previous prime is 345615091. The next prime is 345615139. The reversal of 345615116 is 611516543.

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 15 ways as a sum of consecutive naturals, for example, 83291 + ... + 87341.

It is an arithmetic number, because the mean of its divisors is an integer number (15770384).

Almost surely, 2345615116 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 345615116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378489216).

345615116 is an abundant number, since it is smaller than the sum of its proper divisors (411363316).

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

345615116 is a wasteful number, since it uses less digits than its factorization.

345615116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4350 (or 4348 counting only the distinct ones).

The product of its digits is 10800, while the sum is 32.

The square root of 345615116 is about 18590.7266130187. The cubic root of 345615116 is about 701.7744883766.

The spelling of 345615116 in words is "three hundred forty-five million, six hundred fifteen thousand, one hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 277 308 554 1108 1939 3047 3878 4051 6094 7756 8102 12188 16204 21329 28357 42658 44561 56714 85316 89122 113428 178244 311927 623854 1122127 1247708 2244254 4488508 7854889 12343397 15709778 24686794 31419556 49373588 86403779 172807558 345615116