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134842400 = 25527112199
BaseRepresentation
bin10000000100110…
…00100000100000
3100101201200222222
420002120200200
5234004424100
621214050212
73225066350
oct1002304040
9311650888
10134842400
116a12a100
12391a9968
1321c22904
1413ca0b60
15bc88485
hex8098820

134842400 has 216 divisors, whose sum is σ = 415598400. Its totient is φ = 41817600.

The previous prime is 134842369. The next prime is 134842403. The reversal of 134842400 is 4248431.

It is a self number, because there is not a number n which added to its sum of digits gives 134842400.

It is not an unprimeable number, because it can be changed into a prime (134842403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 677501 + ... + 677699.

Almost surely, 2134842400 is an apocalyptic number.

134842400 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 134842400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207799200).

134842400 is an abundant number, since it is smaller than the sum of its proper divisors (280756000).

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

134842400 is a wasteful number, since it uses less digits than its factorization.

134842400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 134842400 is about 11612.1660339490. The cubic root of 134842400 is about 512.7930824131.

The spelling of 134842400 in words is "one hundred thirty-four million, eight hundred forty-two thousand, four hundred".