Search a number
-
+
234739288 = 23723593089
BaseRepresentation
bin11011111110111…
…01011001011000
3121100200222202201
431333131121120
5440043124123
635143135544
75550152050
oct1577353130
9540628681
10234739288
11110560113
12667445b4
133982b4b4
1423266560
151591c5ad
hexdfdd658

234739288 has 64 divisors (see below), whose sum is σ = 533952000. Its totient is φ = 94566912.

The previous prime is 234739283. The next prime is 234739289. The reversal of 234739288 is 882937432.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234739283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74448 + ... + 77536.

It is an arithmetic number, because the mean of its divisors is an integer number (8343000).

Almost surely, 2234739288 is an apocalyptic number.

234739288 is a gapful number since it is divisible by the number (28) 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 234739288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266976000).

234739288 is an abundant number, since it is smaller than the sum of its proper divisors (299212712).

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

234739288 is a wasteful number, since it uses less digits than its factorization.

234739288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3184 (or 3180 counting only the distinct ones).

The product of its digits is 580608, while the sum is 46.

The square root of 234739288 is about 15321.2038691481. The cubic root of 234739288 is about 616.8722884137.

It can be divided in two parts, 23473 and 9288, that added together give a square (32761 = 1812).

The spelling of 234739288 in words is "two hundred thirty-four million, seven hundred thirty-nine thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 23 28 46 56 59 92 118 161 184 236 322 413 472 644 826 1288 1357 1652 2714 3089 3304 5428 6178 9499 10856 12356 18998 21623 24712 37996 43246 71047 75992 86492 142094 172984 182251 284188 364502 497329 568376 729004 994658 1275757 1458008 1989316 2551514 3978632 4191773 5103028 8383546 10206056 16767092 29342411 33534184 58684822 117369644 234739288