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134424576 = 21133111317
BaseRepresentation
bin10000000001100…
…10100000000000
3100100221110212000
420000302200000
5233403041301
621201104000
73221406246
oct1000624000
9310843760
10134424576
11699741a0
1239028000
1321b07690
1413bd2796
15bc04786
hex8032800

134424576 has 384 divisors, whose sum is σ = 495331200. Its totient is φ = 35389440.

The previous prime is 134424569. The next prime is 134424607. The reversal of 134424576 is 675424431.

134424576 is a `hidden beast` number, since 1 + 344 + 245 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

Its product of digits (80640) is a multiple of the sum of its prime factors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 134424576.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7907320 + ... + 7907336.

It is an arithmetic number, because the mean of its divisors is an integer number (1289925).

Almost surely, 2134424576 is an apocalyptic number.

134424576 is a gapful number since it is divisible by the number (16) 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 134424576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247665600).

134424576 is an abundant number, since it is smaller than the sum of its proper divisors (360906624).

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

134424576 is a wasteful number, since it uses less digits than its factorization.

134424576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 46 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 134424576 is about 11594.1612892007. The cubic root of 134424576 is about 512.2628858318.

The spelling of 134424576 in words is "one hundred thirty-four million, four hundred twenty-four thousand, five hundred seventy-six".