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233234034 = 231121132843
BaseRepresentation
bin11011110011011…
…01111001110010
3121020212111221120
431321231321302
5434201442114
635051003110
75531312415
oct1571557162
9536774846
10233234034
1110a722200
1266139496
1339422307
1422d93b7c
15157215a9
hexde6de72

233234034 has 48 divisors (see below), whose sum is σ = 517448736. Its totient is φ = 70026880.

The previous prime is 233234017. The next prime is 233234039. The reversal of 233234034 is 430432332.

It is a super-2 number, since 2×2332340342 = 108796229231826312, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 233233995 and 233234013.

It is not an unprimeable number, because it can be changed into a prime (233234039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80617 + ... + 83459.

It is an arithmetic number, because the mean of its divisors is an integer number (10780182).

Almost surely, 2233234034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233234034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258724368).

233234034 is an abundant number, since it is smaller than the sum of its proper divisors (284214702).

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

233234034 is a wasteful number, since it uses less digits than its factorization.

233234034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983 (or 2972 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 233234034 is about 15272.0016369826. The cubic root of 233234034 is about 615.5509056609.

Adding to 233234034 its reverse (430432332), we get a palindrome (663666366).

The spelling of 233234034 in words is "two hundred thirty-three million, two hundred thirty-four thousand, thirty-four".

Divisors: 1 2 3 6 11 22 33 66 113 121 226 242 339 363 678 726 1243 2486 2843 3729 5686 7458 8529 13673 17058 27346 31273 41019 62546 82038 93819 187638 321259 344003 642518 688006 963777 1032009 1927554 2064018 3533849 7067698 10601547 21203094 38872339 77744678 116617017 233234034