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134415744 = 2731991759
BaseRepresentation
bin10000000001100…
…00010110000000
3100100221000201220
420000300112000
5233402300434
621200555040
73221341431
oct1000602600
9310830656
10134415744
11699685a1
1239022a80
1321b03658
1413bcd488
15bc01d49
hex8030580

134415744 has 64 divisors (see below), whose sum is σ = 359040000. Its totient is φ = 44554752.

The previous prime is 134415739. The next prime is 134415763. The reversal of 134415744 is 447514431.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75537 + ... + 77295.

It is an arithmetic number, because the mean of its divisors is an integer number (5610000).

Almost surely, 2134415744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134415744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179520000).

134415744 is an abundant number, since it is smaller than the sum of its proper divisors (224624256).

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

134415744 is a wasteful number, since it uses less digits than its factorization.

134415744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1963 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 134415744 is about 11593.7804015774. The cubic root of 134415744 is about 512.2516666410.

The spelling of 134415744 in words is "one hundred thirty-four million, four hundred fifteen thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 199 384 398 597 796 1194 1592 1759 2388 3184 3518 4776 5277 6368 7036 9552 10554 12736 14072 19104 21108 25472 28144 38208 42216 56288 76416 84432 112576 168864 225152 337728 350041 675456 700082 1050123 1400164 2100246 2800328 4200492 5600656 8400984 11201312 16801968 22402624 33603936 44805248 67207872 134415744