Search a number
-
+
114463368 = 2334176641
BaseRepresentation
bin1101101001010…
…01001010001000
321222101100020000
412310221022020
5213300311433
615205203000
72556631305
oct664511210
9258340200
10114463368
1159680028
1232400460
131a938b06
14112b80ac
15a0b0113
hex6d29288

114463368 has 40 divisors (see below), whose sum is σ = 320605230. Its totient is φ = 38154240.

The previous prime is 114463361. The next prime is 114463369. The reversal of 114463368 is 863364411.

It is a happy number.

114463368 is a `hidden beast` number, since 1 + 14 + 4 + 633 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 90668484 + 23794884 = 9522^2 + 4878^2 .

It is a super-2 number, since 2×1144633682 = 26203725227806848, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (114463361) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 87673 + ... + 88968.

Almost surely, 2114463368 is an apocalyptic number.

114463368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

114463368 is an abundant number, since it is smaller than the sum of its proper divisors (206141862).

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

114463368 is a wasteful number, since it uses less digits than its factorization.

114463368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176659 (or 176646 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 114463368 is about 10698.7554416390. The cubic root of 114463368 is about 485.5368243778.

The spelling of 114463368 in words is "one hundred fourteen million, four hundred sixty-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 176641 353282 529923 706564 1059846 1413128 1589769 2119692 3179538 4239384 4769307 6359076 9538614 12718152 14307921 19077228 28615842 38154456 57231684 114463368