Search a number
-
+
3340244424 = 2331115183791
BaseRepresentation
bin1100011100011000…
…0001010111001000
322121210020222221110
43013012001113020
523320100310144
61311241010320
7145526415636
oct30706012710
98553228843
103340244424
111464532090
127927839a0
134130331ba
14239894356
151483a20b9
hexc71815c8

3340244424 has 64 divisors (see below), whose sum is σ = 9170196480. Its totient is φ = 1005480000.

The previous prime is 3340244423. The next prime is 3340244431. The reversal of 3340244424 is 4244420433.

It is a super-2 number, since 2×33402444242 = 22314465624126183552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3340244391 and 3340244400.

It is not an unprimeable number, because it can be changed into a prime (3340244423) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2032 + ... + 81759.

It is an arithmetic number, because the mean of its divisors is an integer number (143284320).

Almost surely, 23340244424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3340244424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4585098240).

3340244424 is an abundant number, since it is smaller than the sum of its proper divisors (5829952056).

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

3340244424 is a wasteful number, since it uses less digits than its factorization.

3340244424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83962 (or 83958 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

The square root of 3340244424 is about 57794.8477288417. The cubic root of 3340244424 is about 1494.8332493366.

Adding to 3340244424 its reverse (4244420433), we get a palindrome (7584664857).

The spelling of 3340244424 in words is "three billion, three hundred forty million, two hundred forty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 151 264 302 453 604 906 1208 1661 1812 3322 3624 4983 6644 9966 13288 19932 39864 83791 167582 251373 335164 502746 670328 921701 1005492 1843402 2010984 2765103 3686804 5530206 7373608 11060412 12652441 22120824 25304882 37957323 50609764 75914646 101219528 139176851 151829292 278353702 303658584 417530553 556707404 835061106 1113414808 1670122212 3340244424