Search a number
-
+
240739224 = 233111316961
BaseRepresentation
bin11100101100101…
…10001110011000
3121202222211010120
432112112032120
5443112123344
635515513240
75652151425
oct1626261630
9552884116
10240739224
11113988a40
1268758820
133ab4c45b
1423d88d4c
1516205219
hexe596398

240739224 has 64 divisors (see below), whose sum is σ = 661668480. Its totient is φ = 72384000.

The previous prime is 240739223. The next prime is 240739267. The reversal of 240739224 is 422937042.

240739224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240739223) 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, 31104 + ... + 38064.

It is an arithmetic number, because the mean of its divisors is an integer number (10338570).

Almost surely, 2240739224 is an apocalyptic number.

240739224 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 240739224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330834240).

240739224 is an abundant number, since it is smaller than the sum of its proper divisors (420929256).

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

240739224 is a wasteful number, since it uses less digits than its factorization.

240739224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7112 (or 7108 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 240739224 is about 15515.7733935502. The cubic root of 240739224 is about 622.0838863574.

The spelling of 240739224 in words is "two hundred forty million, seven hundred thirty-nine thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 131 132 262 264 393 524 786 1048 1441 1572 2882 3144 4323 5764 6961 8646 11528 13922 17292 20883 27844 34584 41766 55688 76571 83532 153142 167064 229713 306284 459426 612568 911891 918852 1823782 1837704 2735673 3647564 5471346 7295128 10030801 10942692 20061602 21885384 30092403 40123204 60184806 80246408 120369612 240739224