Search a number
-
+
134784024 = 233171917387
BaseRepresentation
bin10000000100010…
…10010000011000
3100101121201220220
420002022100120
5234001042044
621212520040
73224434224
oct1002122030
9311551826
10134784024
116a09a261
1239180020
1321c0217b
1413c87784
15bc76019
hex808a418

134784024 has 64 divisors (see below), whose sum is σ = 375580800. Its totient is φ = 40057344.

The previous prime is 134784011. The next prime is 134784073. The reversal of 134784024 is 420487431.

134784024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 942 + ... + 16445.

It is an arithmetic number, because the mean of its divisors is an integer number (5868450).

Almost surely, 2134784024 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 134784024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187790400).

134784024 is an abundant number, since it is smaller than the sum of its proper divisors (240796776).

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

134784024 is a wasteful number, since it uses less digits than its factorization.

134784024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17432 (or 17428 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 134784024 is about 11609.6521911727. The cubic root of 134784024 is about 512.7190722358.

The spelling of 134784024 in words is "one hundred thirty-four million, seven hundred eighty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 68 76 102 114 136 152 204 228 323 408 456 646 969 1292 1938 2584 3876 7752 17387 34774 52161 69548 104322 139096 208644 295579 330353 417288 591158 660706 886737 991059 1182316 1321412 1773474 1982118 2364632 2642824 3546948 3964236 5616001 7093896 7928472 11232002 16848003 22464004 33696006 44928008 67392012 134784024