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134734464 = 27322937109
BaseRepresentation
bin10000000011111…
…10001010000000
3100101112012221100
420001332022000
5233443000324
621211454400
73224136564
oct1001761200
9311465840
10134734464
116a065aa7
1239157400
1321bb5747
1413c736a4
15bc664c9
hex807e280

134734464 has 192 divisors, whose sum is σ = 415701000. Its totient is φ = 41803776.

The previous prime is 134734451. The next prime is 134734471. The reversal of 134734464 is 464437431.

It can be written as a sum of positive squares in 4 ways, for example, as 134374464 + 360000 = 11592^2 + 600^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1236042 + ... + 1236150.

Almost surely, 2134734464 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 134734464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207850500).

134734464 is an abundant number, since it is smaller than the sum of its proper divisors (280966536).

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

134734464 is a wasteful number, since it uses less digits than its factorization.

134734464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 180 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 134734464 is about 11607.5175640617. The cubic root of 134734464 is about 512.6562223728.

The spelling of 134734464 in words is "one hundred thirty-four million, seven hundred thirty-four thousand, four hundred sixty-four".