Search a number
-
+
12334434030 = 233545683089
BaseRepresentation
bin10110111110011000…
…01000011011101110
31011211121102011121000
423133030020123232
5200230103342110
65355533421130
7614441650032
oct133714103356
934747364530
1012334434030
11525a514936
12248293a7a6
13121752a899
148501d61c2
154c2cd21c0
hex2df3086ee

12334434030 has 32 divisors (see below), whose sum is σ = 32891824800. Its totient is φ = 3289182336.

The previous prime is 12334434011. The next prime is 12334434059. The reversal of 12334434030 is 3043443321.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12334433985 and 12334434003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22841275 + ... + 22841814.

It is an arithmetic number, because the mean of its divisors is an integer number (1027869525).

Almost surely, 212334434030 is an apocalyptic number.

12334434030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12334434030 is an abundant number, since it is smaller than the sum of its proper divisors (20557390770).

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

12334434030 is a wasteful number, since it uses less digits than its factorization.

12334434030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45683105 (or 45683099 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 12334434030 its reverse (3043443321), we get a palindrome (15377877351).

The spelling of 12334434030 in words is "twelve billion, three hundred thirty-four million, four hundred thirty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 45683089 91366178 137049267 228415445 274098534 411147801 456830890 685246335 822295602 1233443403 1370492670 2055739005 2466886806 4111478010 6167217015 12334434030