Search a number
-
+
3340461960 = 2332511711092
BaseRepresentation
bin1100011100011011…
…0110011110001000
322121210200001100100
43013012312132020
523320124240320
61311245405400
7145531313103
oct30706663610
98553601310
103340461960
111464670570
12792869860
134130ab214
1423990d73a
151483e6790
hexc71b6788

3340461960 has 288 divisors, whose sum is σ = 12121462080. Its totient is φ = 791078400.

The previous prime is 3340461919. The next prime is 3340461967. The reversal of 3340461960 is 691640433.

3340461960 is a `hidden beast` number, since 3 + 34 + 0 + 4 + 619 + 6 + 0 = 666.

3340461960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33404619602 = 22317372212414083200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3340461967) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30646386 + ... + 30646494.

It is an arithmetic number, because the mean of its divisors is an integer number (42088410).

Almost surely, 23340461960 is an apocalyptic number.

3340461960 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 3340461960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6060731040).

3340461960 is an abundant number, since it is smaller than the sum of its proper divisors (8781000120).

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

3340461960 is a wasteful number, since it uses less digits than its factorization.

3340461960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3340461960 is about 57796.7296652674. The cubic root of 3340461960 is about 1494.8656993558.

The spelling of 3340461960 in words is "three billion, three hundred forty million, four hundred sixty-one thousand, nine hundred sixty".