Search a number
-
+
234034164 = 223371323813
BaseRepresentation
bin11011111001100…
…01001111110100
3121022101011112000
431330301033310
5434403043124
635120055300
75541154230
oct1574611764
9538334460
10234034164
11110119371
1266464530
1339642570
14231215c0
151582d6c9
hexdf313f4

234034164 has 96 divisors (see below), whose sum is σ = 746807040. Its totient is φ = 61720704.

The previous prime is 234034123. The next prime is 234034183. The reversal of 234034164 is 461430432.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2079 + ... + 21734.

It is an arithmetic number, because the mean of its divisors is an integer number (7779240).

Almost surely, 2234034164 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 234034164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373403520).

234034164 is an abundant number, since it is smaller than the sum of its proper divisors (512772876).

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

234034164 is a wasteful number, since it uses less digits than its factorization.

234034164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23846 (or 23838 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 234034164 is about 15298.1751852958. The cubic root of 234034164 is about 616.2540028842.

Adding to 234034164 its reverse (461430432), we get a palindrome (695464596).

The spelling of 234034164 in words is "two hundred thirty-four million, thirty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1092 1404 1638 2457 3276 4914 9828 23813 47626 71439 95252 142878 166691 214317 285756 309569 333382 428634 500073 619138 642951 666764 857268 928707 1000146 1238276 1285902 1500219 1857414 2000292 2166983 2571804 2786121 3000438 3714828 4333966 4500657 5572242 6000876 6500949 8358363 8667932 9001314 11144484 13001898 16716726 18002628 19502847 26003796 33433452 39005694 58508541 78011388 117017082 234034164