[go: up one dir, main page]

Search a number
-
+
114313104 = 2432793841
BaseRepresentation
bin1101101000001…
…00011110010000
321222002201002200
412310010132100
5213231004404
615202043200
72555434233
oct664043620
9258081080
10114313104
1159588144
1232349500
131a8b55b9
141127941a
15a080839
hex6d04790

114313104 has 30 divisors (see below), whose sum is σ = 319918326. Its totient is φ = 38104320.

The previous prime is 114313097. The next prime is 114313123. The reversal of 114313104 is 401313411.

It can be written as a sum of positive squares in only one way, i.e., 61779600 + 52533504 = 7860^2 + 7248^2 .

It is a super-2 number, since 2×1143131042 = 26134971492229632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 5 ways as a sum of consecutive naturals, for example, 396777 + ... + 397064.

Almost surely, 2114313104 is an apocalyptic number.

It is an amenable number.

114313104 is an abundant number, since it is smaller than the sum of its proper divisors (205605222).

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

114313104 is a wasteful number, since it uses less digits than its factorization.

114313104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793855 (or 793846 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 114313104 is about 10691.7306363376. The cubic root of 114313104 is about 485.3242653849.

Adding to 114313104 its reverse (401313411), we get a palindrome (515626515).

It can be divided in two parts, 11431 and 3104, that added together give a triangular number (14535 = T170).

The spelling of 114313104 in words is "one hundred fourteen million, three hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 793841 1587682 2381523 3175364 4763046 6350728 7144569 9526092 12701456 14289138 19052184 28578276 38104368 57156552 114313104