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134264448 = 2732116549
BaseRepresentation
bin10000000000010…
…11011010000000
3100100122100012100
420000023122000
5233332430243
621153430400
73220141353
oct1000133200
9310570170
10134264448
116987495a
1238b6b400
1321a7c826
1413b9029a
15bbc20d3
hex800b680

134264448 has 48 divisors (see below), whose sum is σ = 386363250. Its totient is φ = 44754432.

The previous prime is 134264437. The next prime is 134264467. The reversal of 134264448 is 844462431.

134264448 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 644 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 118200384 + 16064064 = 10872^2 + 4008^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 57123 + ... + 59426.

Almost surely, 2134264448 is an apocalyptic number.

134264448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

134264448 is an abundant number, since it is smaller than the sum of its proper divisors (252098802).

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

134264448 is a wasteful number, since it uses less digits than its factorization.

134264448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116569 (or 116554 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 134264448 is about 11587.2536867025. The cubic root of 134264448 is about 512.0594006603.

The spelling of 134264448 in words is "one hundred thirty-four million, two hundred sixty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 116549 233098 349647 466196 699294 932392 1048941 1398588 1864784 2097882 2797176 3729568 4195764 5594352 7459136 8391528 11188704 14918272 16783056 22377408 33566112 44754816 67132224 134264448