Search a number
-
+
240234384 = 243131133407
BaseRepresentation
bin11100101000110…
…10111110010000
3121202001011121210
432110122332100
5443000000014
635501020120
75644646535
oct1624327620
9552034553
10240234384
11113673715
1268554640
133aa03730
1423c96d8c
1516155859
hexe51af90

240234384 has 80 divisors (see below), whose sum is σ = 674456832. Its totient is φ = 73242624.

The previous prime is 240234383. The next prime is 240234413. The reversal of 240234384 is 483432042.

240234384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (240234383) 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, 68809 + ... + 72215.

Almost surely, 2240234384 is an apocalyptic number.

240234384 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 240234384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337228416).

240234384 is an abundant number, since it is smaller than the sum of its proper divisors (434222448).

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

240234384 is a wasteful number, since it uses less digits than its factorization.

240234384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3544 (or 3538 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 240234384 is about 15499.4962498786. The cubic root of 240234384 is about 621.6487369216.

The spelling of 240234384 in words is "two hundred forty million, two hundred thirty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 113 156 208 226 312 339 452 624 678 904 1356 1469 1808 2712 2938 3407 4407 5424 5876 6814 8814 10221 11752 13628 17628 20442 23504 27256 35256 40884 44291 54512 70512 81768 88582 132873 163536 177164 265746 354328 384991 531492 708656 769982 1062984 1154973 1539964 2125968 2309946 3079928 4619892 5004883 6159856 9239784 10009766 15014649 18479568 20019532 30029298 40039064 60058596 80078128 120117192 240234384