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1534336128 = 27331323771
BaseRepresentation
bin101101101110100…
…0001110010000000
310221221010100111000
41123131001302000
511120242224003
6412130052000
753010433113
oct13335016200
93857110430
101534336128
11718102496
12369a1a000
131b5b54b00
14107ac057a
158ea7d1a3
hex5b741c80

1534336128 has 384 divisors, whose sum is σ = 5107017600. Its totient is φ = 452874240.

The previous prime is 1534336117. The next prime is 1534336129. The reversal of 1534336128 is 8216334351.

1534336128 is a `hidden beast` number, since 1 + 5 + 3 + 4 + 33 + 612 + 8 = 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).

It is a junction number, because it is equal to n+sod(n) for n = 1534336092 and 1534336101.

It is not an unprimeable number, because it can be changed into a prime (1534336129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21610333 + ... + 21610403.

It is an arithmetic number, because the mean of its divisors is an integer number (13299525).

Almost surely, 21534336128 is an apocalyptic number.

1534336128 is a gapful number since it is divisible by the number (18) 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 1534336128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2553508800).

1534336128 is an abundant number, since it is smaller than the sum of its proper divisors (3572681472).

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

1534336128 is a wasteful number, since it uses less digits than its factorization.

1534336128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 126 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 1534336128 is about 39170.6028546919. The cubic root of 1534336128 is about 1153.3828878957.

The spelling of 1534336128 in words is "one billion, five hundred thirty-four million, three hundred thirty-six thousand, one hundred twenty-eight".