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134833644 = 2232112959199
BaseRepresentation
bin10000000100101…
…10010111101100
3100101201020222200
420002112113230
5234004134034
621213541500
73225032001
oct1002262754
9311636880
10134833644
116a123570
12391a4890
1321c1b92a
1413c9b8a8
15bc85a99
hex80965ec

134833644 has 144 divisors (see below), whose sum is σ = 393120000. Its totient is φ = 38586240.

The previous prime is 134833637. The next prime is 134833667. The reversal of 134833644 is 446338431.

It is a happy number.

134833644 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 3 + 3 + 644 = 666.

It is a super-2 number, since 2×1348336442 = 36360223108637472, which contains 22 as substring.

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 = 134833599 and 134833608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 677457 + ... + 677655.

It is an arithmetic number, because the mean of its divisors is an integer number (2730000).

Almost surely, 2134833644 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 134833644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196560000).

134833644 is an abundant number, since it is smaller than the sum of its proper divisors (258286356).

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

134833644 is a wasteful number, since it uses less digits than its factorization.

134833644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 303 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 134833644 is about 11611.7890094507. The cubic root of 134833644 is about 512.7819827555.

The spelling of 134833644 in words is "one hundred thirty-four million, eight hundred thirty-three thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 59 66 87 99 116 118 132 174 177 198 199 236 261 319 348 354 396 398 522 531 597 638 649 708 796 957 1044 1062 1194 1276 1298 1711 1791 1914 1947 2124 2189 2388 2596 2871 3422 3582 3828 3894 4378 5133 5742 5771 5841 6567 6844 7164 7788 8756 10266 11484 11542 11682 11741 13134 15399 17313 18821 19701 20532 23084 23364 23482 26268 30798 34626 35223 37642 39402 46964 51939 56463 61596 63481 69252 70446 75284 78804 103878 105669 112926 126962 129151 140892 169389 190443 207756 211338 225852 253924 258302 338778 340489 380886 387453 422676 516604 571329 677556 680978 761772 774906 1021467 1142658 1162359 1361956 1549812 2042934 2285316 2324718 3064401 3745379 4085868 4649436 6128802 7490758 11236137 12257604 14981516 22472274 33708411 44944548 67416822 134833644