Search a number
-
+
114480384 = 283236481
BaseRepresentation
bin1101101001011…
…01010100000000
321222102012120020
412310231110000
5213301333014
615205413440
72560032024
oct664552400
9258365506
10114480384
1159691897
123240a280
131a943795
14112c0384
15a0b51a9
hex6d2d500

114480384 has 72 divisors (see below), whose sum is σ = 317980992. Its totient is φ = 36495360.

The previous prime is 114480367. The next prime is 114480403. The reversal of 114480384 is 483084411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14424 + ... + 20904.

Almost surely, 2114480384 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 114480384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158990496).

114480384 is an abundant number, since it is smaller than the sum of its proper divisors (203500608).

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

114480384 is an equidigital number, since it uses as much as digits as its factorization.

114480384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6523 (or 6509 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 114480384 is about 10699.5506447701. The cubic root of 114480384 is about 485.5608829780.

The spelling of 114480384 in words is "one hundred fourteen million, four hundred eighty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 552 736 768 1104 1472 2208 2944 4416 5888 6481 8832 12962 17664 19443 25924 38886 51848 77772 103696 149063 155544 207392 298126 311088 414784 447189 596252 622176 829568 894378 1192504 1244352 1659136 1788756 2385008 2488704 3577512 4770016 4977408 7155024 9540032 14310048 19080064 28620096 38160128 57240192 114480384