Search a number
-
+
234172944 = 24341011789
BaseRepresentation
bin11011111010100…
…11001000010000
3121022122012220000
431331103020100
5434422013234
635123050000
75542302645
oct1575231020
9538565800
10234172944
11110203665
1266510900
1339690795
1423159dcc
1515859899
hexdf53210

234172944 has 100 divisors (see below), whose sum is σ = 684857580. Its totient is φ = 77241600.

The previous prime is 234172919. The next prime is 234172957. The reversal of 234172944 is 449271432.

It can be written as a sum of positive squares in 2 ways, for example, as 223203600 + 10969344 = 14940^2 + 3312^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 234172899 and 234172908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 130002 + ... + 131790.

Almost surely, 2234172944 is an apocalyptic number.

234172944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234172944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342428790).

234172944 is an abundant number, since it is smaller than the sum of its proper divisors (450684636).

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

234172944 is a wasteful number, since it uses less digits than its factorization.

234172944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1895 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 234172944 is about 15302.7103481704. The cubic root of 234172944 is about 616.3757897062.

The spelling of 234172944 in words is "two hundred thirty-four million, one hundred seventy-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 101 108 144 162 202 216 303 324 404 432 606 648 808 909 1212 1296 1616 1789 1818 2424 2727 3578 3636 4848 5367 5454 7156 7272 8181 10734 10908 14312 14544 16101 16362 21468 21816 28624 32202 32724 42936 43632 48303 64404 65448 85872 96606 128808 130896 144909 180689 193212 257616 289818 361378 386424 542067 579636 722756 772848 1084134 1159272 1445512 1626201 2168268 2318544 2891024 3252402 4336536 4878603 6504804 8673072 9757206 13009608 14635809 19514412 26019216 29271618 39028824 58543236 78057648 117086472 234172944