Search a number
-
+
234053172 = 223319167683
BaseRepresentation
bin11011111001101…
…01111000110100
3121022102010121000
431330311320310
5434404200142
635120323300
75541263523
oct1574657064
9538363530
10234053172
11110131681
1266473530
133964b102
14231284ba
151583414c
hexdf35e34

234053172 has 96 divisors (see below), whose sum is σ = 643507200. Its totient is φ = 73361376.

The previous prime is 234053159. The next prime is 234053203. The reversal of 234053172 is 271350432.

234053172 is a `hidden beast` number, since 2 + 340 + 5 + 317 + 2 = 666.

It is a super-3 number, since 3×2340531723 (a number of 26 digits) contains 333 as substring.

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, 342343 + ... + 343025.

It is an arithmetic number, because the mean of its divisors is an integer number (6703200).

Almost surely, 2234053172 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 234053172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321753600).

234053172 is an abundant number, since it is smaller than the sum of its proper divisors (409454028).

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

234053172 is a wasteful number, since it uses less digits than its factorization.

234053172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 234053172 is about 15298.7964232485. The cubic root of 234053172 is about 616.2706862590.

The spelling of 234053172 in words is "two hundred thirty-four million, fifty-three thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 167 171 228 334 342 501 513 668 683 684 1002 1026 1366 1503 2004 2049 2052 2732 3006 3173 4098 4509 6012 6147 6346 8196 9018 9519 12294 12692 12977 18036 18441 19038 24588 25954 28557 36882 38076 38931 51908 57114 73764 77862 85671 114061 114228 116793 155724 171342 228122 233586 342183 342684 350379 456244 467172 684366 700758 1026549 1368732 1401516 2053098 2167159 3079647 4106196 4334318 6159294 6501477 8668636 12318588 13002954 19504431 26005908 39008862 58513293 78017724 117026586 234053172