Search a number
-
+
244032240 = 24352514051
BaseRepresentation
bin11101000101110…
…10001011110000
3122000012010022010
432202322023300
5444433012430
640114242520
76022145154
oct1642721360
9560163263
10244032240
11115828041
1269886440
133b73329a
14245a5064
1516655cb0
hexe8ba2f0

244032240 has 80 divisors (see below), whose sum is σ = 759701376. Its totient is φ = 64800000.

The previous prime is 244032199. The next prime is 244032253. The reversal of 244032240 is 42230442.

244032240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58215 + ... + 62265.

Almost surely, 2244032240 is an apocalyptic number.

244032240 is a gapful number since it is divisible by the number (20) 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 244032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379850688).

244032240 is an abundant number, since it is smaller than the sum of its proper divisors (515669136).

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

244032240 is a wasteful number, since it uses less digits than its factorization.

244032240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4318 (or 4312 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 244032240 is about 15621.5312949787. The cubic root of 244032240 is about 624.9074977767.

Adding to 244032240 its reverse (42230442), we get a palindrome (286262682).

The spelling of 244032240 in words is "two hundred forty-four million, thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 251 502 753 1004 1255 1506 2008 2510 3012 3765 4016 4051 5020 6024 7530 8102 10040 12048 12153 15060 16204 20080 20255 24306 30120 32408 40510 48612 60240 60765 64816 81020 97224 121530 162040 194448 243060 324080 486120 972240 1016801 2033602 3050403 4067204 5084005 6100806 8134408 10168010 12201612 15252015 16268816 20336020 24403224 30504030 40672040 48806448 61008060 81344080 122016120 244032240