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340133112 = 2332112959251
BaseRepresentation
bin10100010001100…
…000010011111000
3212201000112220200
4110101200103320
51144033224422
653430122200
711300040504
oct2421402370
9781015820
10340133112
11164aa6050
1295ab0360
13556100c7
143325d304
151ecda2ac
hex144604f8

340133112 has 192 divisors, whose sum is σ = 1061424000. Its totient is φ = 97440000.

The previous prime is 340133111. The next prime is 340133137. The reversal of 340133112 is 211331043.

340133112 is a `hidden beast` number, since 340 + 13 + 311 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340133111) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1354987 + ... + 1355237.

It is an arithmetic number, because the mean of its divisors is an integer number (5528250).

Almost surely, 2340133112 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 340133112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530712000).

340133112 is an abundant number, since it is smaller than the sum of its proper divisors (721290888).

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

340133112 is a wasteful number, since it uses less digits than its factorization.

340133112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 340133112 is about 18442.6980672569. The cubic root of 340133112 is about 698.0442770685.

Adding to 340133112 its reverse (211331043), we get a palindrome (551464155).

The spelling of 340133112 in words is "three hundred forty million, one hundred thirty-three thousand, one hundred twelve".