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134382401 = 537013617
BaseRepresentation
bin10000000001010…
…00001101000001
3100100212022222222
420000220031001
5233400214101
621200140425
73221142266
oct1000501501
9310768888
10134382401
116994553a
1239007715
1321ac141a
1413bc126d
15bbe701b
hex8028341

134382401 has 8 divisors (see below), whose sum is σ = 137151144. Its totient is φ = 131622400.

The previous prime is 134382389. The next prime is 134382403. The reversal of 134382401 is 104283431.

It can be written as a sum of positive squares in 4 ways, for example, as 16008001 + 118374400 = 4001^2 + 10880^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 134382401 - 26 = 134382337 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (134382403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35345 + ... + 38961.

It is an arithmetic number, because the mean of its divisors is an integer number (17143893).

Almost surely, 2134382401 is an apocalyptic number.

It is an amenable number.

134382401 is a deficient number, since it is larger than the sum of its proper divisors (2768743).

134382401 is an equidigital number, since it uses as much as digits as its factorization.

134382401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4371.

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 134382401 is about 11592.3423431160. The cubic root of 134382401 is about 512.2093069707.

The spelling of 134382401 in words is "one hundred thirty-four million, three hundred eighty-two thousand, four hundred one".

Divisors: 1 53 701 3617 37153 191701 2535517 134382401