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134313024 = 2635367197
BaseRepresentation
bin10000000000101…
…11010001000000
3100100201210211110
420000113101000
5233341004044
621154443320
73220433106
oct1000272100
9310653743
10134313024
11698a83aa
1238b93540
1321a98981
1413ba3c76
15bbd16b9
hex8017440

134313024 has 112 divisors (see below), whose sum is σ = 369344448. Its totient is φ = 43051008.

The previous prime is 134313017. The next prime is 134313061. The reversal of 134313024 is 420313431.

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, 681694 + ... + 681890.

Almost surely, 2134313024 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 134313024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184672224).

134313024 is an abundant number, since it is smaller than the sum of its proper divisors (235031424).

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

134313024 is a wasteful number, since it uses less digits than its factorization.

134313024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 134313024 is about 11589.3495934845. The cubic root of 134313024 is about 512.1211464630.

Adding to 134313024 its reverse (420313431), we get a palindrome (554626455).

The spelling of 134313024 in words is "one hundred thirty-four million, three hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 67 96 106 134 159 192 197 201 212 268 318 394 402 424 536 591 636 788 804 848 1072 1182 1272 1576 1608 1696 2144 2364 2544 3152 3216 3392 3551 4288 4728 5088 6304 6432 7102 9456 10176 10441 10653 12608 12864 13199 14204 18912 20882 21306 26398 28408 31323 37824 39597 41764 42612 52796 56816 62646 79194 83528 85224 105592 113632 125292 158388 167056 170448 211184 227264 250584 316776 334112 340896 422368 501168 633552 668224 681792 699547 844736 1002336 1267104 1399094 2004672 2098641 2534208 2798188 4197282 5596376 8394564 11192752 16789128 22385504 33578256 44771008 67156512 134313024