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134034642 = 23371392551
BaseRepresentation
bin1111111110100…
…11010011010010
3100100012122222000
413333103103102
5233303102032
621144454430
73215163360
oct777232322
9310178860
10134034642
1169728235
1238a7a416
13219cc051
1413b30630
15bb78e7c
hex7fd34d2

134034642 has 64 divisors (see below), whose sum is σ = 342988800. Its totient is φ = 38005200.

The previous prime is 134034601. The next prime is 134034671. The reversal of 134034642 is 246430431.

134034642 is a `hidden beast` number, since 13 + 4 + 0 + 3 + 4 + 642 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51267 + ... + 53817.

It is an arithmetic number, because the mean of its divisors is an integer number (5359200).

Almost surely, 2134034642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134034642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171494400).

134034642 is an abundant number, since it is smaller than the sum of its proper divisors (208954158).

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

134034642 is a wasteful number, since it uses less digits than its factorization.

134034642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708 (or 2702 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 134034642 is about 11577.3331125955. Note that the first 3 decimals coincide. The cubic root of 134034642 is about 511.7670881752.

The spelling of 134034642 in words is "one hundred thirty-four million, thirty-four thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 139 189 278 378 417 834 973 1251 1946 2502 2551 2919 3753 5102 5838 7506 7653 8757 15306 17514 17857 22959 26271 35714 45918 52542 53571 68877 107142 137754 160713 321426 354589 482139 709178 964278 1063767 2127534 2482123 3191301 4964246 6382602 7446369 9573903 14892738 19147806 22339107 44678214 67017321 134034642