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134438304 = 253711131399
BaseRepresentation
bin10000000001101…
…01110110100000
3100100222011200110
420000311312200
5233404011204
621201251320
73221464260
oct1000656640
9310864613
10134438304
1169983540
1239033b40
1321b109c0
1413bd77a0
15bc08889
hex8035da0

134438304 has 192 divisors, whose sum is σ = 474163200. Its totient is φ = 32209920.

The previous prime is 134438251. The next prime is 134438309. The reversal of 134438304 is 403834431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134438309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95397 + ... + 96795.

It is an arithmetic number, because the mean of its divisors is an integer number (2469600).

Almost surely, 2134438304 is an apocalyptic number.

134438304 is a gapful number since it is divisible by the number (14) 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 134438304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237081600).

134438304 is an abundant number, since it is smaller than the sum of its proper divisors (339724896).

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

134438304 is a wasteful number, since it uses less digits than its factorization.

134438304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 134438304 is about 11594.7532962112. The cubic root of 134438304 is about 512.2803233811.

The spelling of 134438304 in words is "one hundred thirty-four million, four hundred thirty-eight thousand, three hundred four".