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134834040 = 233251179431
BaseRepresentation
bin10000000100101…
…10011101111000
3100101201021112100
420002112131320
5234004142130
621213543400
73225033105
oct1002263570
9311637470
10134834040
116a1238a0
12391a4b60
1321c1bb73
1413c9baac
15bc85c60
hex8096778

134834040 has 192 divisors, whose sum is σ = 485222400. Its totient is φ = 32198400.

The previous prime is 134834033. The next prime is 134834047. The reversal of 134834040 is 40438431.

It is an interprime number because it is at equal distance from previous prime (134834033) and next prime (134834047).

It is a junction number, because it is equal to n+sod(n) for n = 134833995 and 134834013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134834047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312625 + ... + 313055.

It is an arithmetic number, because the mean of its divisors is an integer number (2527200).

Almost surely, 2134834040 is an apocalyptic number.

134834040 is a gapful number since it is divisible by the number (10) 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 134834040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242611200).

134834040 is an abundant number, since it is smaller than the sum of its proper divisors (350388360).

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

134834040 is a wasteful number, since it uses less digits than its factorization.

134834040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 531 counting only the distinct ones).

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

The square root of 134834040 is about 11611.8060610742. The cubic root of 134834040 is about 512.7824847605.

The spelling of 134834040 in words is "one hundred thirty-four million, eight hundred thirty-four thousand, forty".