Search a number
-
+
346135620 = 223510356009
BaseRepresentation
bin10100101000011…
…001110001000100
3220010022111210210
4110220121301010
51202102314440
654202515420
711402050515
oct2450316104
9803274723
10346135620
111684258a6
1297b05b70
135693229c
1433d82a0c
15205c3a80
hex14a19c44

346135620 has 48 divisors (see below), whose sum is σ = 978606720. Its totient is φ = 91405056.

The previous prime is 346135613. The next prime is 346135649. The reversal of 346135620 is 26531643.

346135620 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 21825 + ... + 34184.

It is an arithmetic number, because the mean of its divisors is an integer number (20387640).

Almost surely, 2346135620 is an apocalyptic number.

346135620 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

346135620 is an abundant number, since it is smaller than the sum of its proper divisors (632471100).

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

346135620 is a wasteful number, since it uses less digits than its factorization.

346135620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56124 (or 56122 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 346135620 is about 18604.7203687666. The cubic root of 346135620 is about 702.1266076303.

The spelling of 346135620 in words is "three hundred forty-six million, one hundred thirty-five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 412 515 618 1030 1236 1545 2060 3090 6180 56009 112018 168027 224036 280045 336054 560090 672108 840135 1120180 1680270 3360540 5768927 11537854 17306781 23075708 28844635 34613562 57689270 69227124 86533905 115378540 173067810 346135620