Search a number
-
+
3360450240 = 26345718521
BaseRepresentation
bin1100100001001100…
…0110011011000000
322200012021120010000
43020103012123000
523340233401430
61313242040000
7146163233010
oct31023063300
98605246100
103360450240
111474983004
127994a9000
134172891c4
1423c433c40
1514a043e60
hexc84c66c0

3360450240 has 280 divisors, whose sum is σ = 13662123552. Its totient is φ = 768061440.

The previous prime is 3360450229. The next prime is 3360450253. The reversal of 3360450240 is 420540633.

3360450240 is a `hidden beast` number, since 3 + 3 + 604 + 50 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

It is a super-2 number, since 2×33604502402 = 22585251631032115200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 172180 + ... + 190700.

Almost surely, 23360450240 is an apocalyptic number.

3360450240 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 3360450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6831061776).

3360450240 is an abundant number, since it is smaller than the sum of its proper divisors (10301673312).

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

3360450240 is a wasteful number, since it uses less digits than its factorization.

3360450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18557 (or 18538 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3360450240 is about 57969.3905436309. The cubic root of 3360450240 is about 1497.8413750490.

Adding to 3360450240 its reverse (420540633), we get a palindrome (3780990873).

The spelling of 3360450240 in words is "three billion, three hundred sixty million, four hundred fifty thousand, two hundred forty".