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134718336 = 2733172293
BaseRepresentation
bin10000000011110…
…10001110000000
3100101111101211000
420001322032000
5233441441321
621211252000
73224041554
oct1001721600
9311441730
10134718336
116a054975
123914a000
1321bab2bc
1413c6b864
15bc61826
hex807a380

134718336 has 128 divisors (see below), whose sum is σ = 421178400. Its totient is φ = 42246144.

The previous prime is 134718301. The next prime is 134718347. The reversal of 134718336 is 633817431.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 134718336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57606 + ... + 59898.

Almost surely, 2134718336 is an apocalyptic number.

134718336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134718336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210589200).

134718336 is an abundant number, since it is smaller than the sum of its proper divisors (286460064).

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

134718336 is a wasteful number, since it uses less digits than its factorization.

134718336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333 (or 2315 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 134718336 is about 11606.8228210824. The cubic root of 134718336 is about 512.6357662123.

It can be divided in two parts, 1347 and 18336, that added together give a 9-th power (19683 = 39).

The spelling of 134718336 in words is "one hundred thirty-four million, seven hundred eighteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 272 288 306 384 408 432 459 544 576 612 816 864 918 1088 1152 1224 1632 1728 1836 2176 2293 2448 3264 3456 3672 4586 4896 6528 6879 7344 9172 9792 13758 14688 18344 19584 20637 27516 29376 36688 38981 41274 55032 58752 61911 73376 77962 82548 110064 116943 123822 146752 155924 165096 220128 233886 247644 293504 311848 330192 350829 440256 467772 495288 623696 660384 701658 880512 935544 990576 1052487 1247392 1320768 1403316 1871088 1981152 2104974 2494784 2641536 2806632 3742176 3962304 4209948 4989568 5613264 7484352 7924608 8419896 11226528 14968704 16839792 22453056 33679584 44906112 67359168 134718336