Search a number
-
+
3240804840 = 2335713237617
BaseRepresentation
bin1100000100101010…
…1100000111101000
322100212010221110220
43001022230013220
523114121223330
61253325410040
7143211246420
oct30112540750
98325127426
103240804840
111413393709
12765409920
133c8557800
1422a5ab480
1513e7ad710
hexc12ac1e8

3240804840 has 384 divisors, whose sum is σ = 12377007360. Its totient is φ = 664215552.

The previous prime is 3240804829. The next prime is 3240804841. The reversal of 3240804840 is 484080423.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3240804841) 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 95 ways as a sum of consecutive naturals, for example, 5252212 + ... + 5252828.

It is an arithmetic number, because the mean of its divisors is an integer number (32231790).

Almost surely, 23240804840 is an apocalyptic number.

3240804840 is a gapful number since it is divisible by the number (30) 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 3240804840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6188503680).

3240804840 is an abundant number, since it is smaller than the sum of its proper divisors (9136202520).

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

3240804840 is a wasteful number, since it uses less digits than its factorization.

3240804840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 3240804840 is about 56928.0672427933. The cubic root of 3240804840 is about 1479.8497595238.

The spelling of 3240804840 in words is "three billion, two hundred forty million, eight hundred four thousand, eight hundred forty".