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234134208 = 26327115279
BaseRepresentation
bin11011111010010…
…01101011000000
3121022120020202100
431331021223000
5434414243313
635122150400
75542052010
oct1575115300
9538506670
10234134208
11110187550
12664b2400
1339678c69
1423149c40
151584d173
hexdf49ac0

234134208 has 168 divisors, whose sum is σ = 836858880. Its totient is φ = 60802560.

The previous prime is 234134189. The next prime is 234134209. The reversal of 234134208 is 802431432.

234134208 is a `hidden beast` number, since 234 + 1 + 3 + 420 + 8 = 666.

234134208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234134209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41713 + ... + 46991.

Almost surely, 2234134208 is an apocalyptic number.

234134208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234134208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418429440).

234134208 is an abundant number, since it is smaller than the sum of its proper divisors (602724672).

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

234134208 is a wasteful number, since it uses less digits than its factorization.

234134208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5315 (or 5302 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 234134208 is about 15301.4446376805. Note that the first 3 decimals coincide. The cubic root of 234134208 is about 616.3418016505.

The spelling of 234134208 in words is "two hundred thirty-four million, one hundred thirty-four thousand, two hundred eight".