Search a number
-
+
3336269040 = 24335131729241
BaseRepresentation
bin1100011011011011…
…0110110011110000
322121111210000202000
43012312312303300
523313041102130
61311015454000
7145450550616
oct30666666360
98544700660
103336269040
111462267345
12791387300
134122708c0
1423913b6b6
15147d69260
hexc6db6cf0

3336269040 has 640 divisors, whose sum is σ = 13611628800. Its totient is φ = 743178240.

The previous prime is 3336269039. The next prime is 3336269059. The reversal of 3336269040 is 409626333.

It is a super-2 number, since 2×33362690402 = 22261382214525043200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3336268986 and 3336269004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13843320 + ... + 13843560.

It is an arithmetic number, because the mean of its divisors is an integer number (21268170).

Almost surely, 23336269040 is an apocalyptic number.

3336269040 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 3336269040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6805814400).

3336269040 is an abundant number, since it is smaller than the sum of its proper divisors (10275359760).

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

3336269040 is a wasteful number, since it uses less digits than its factorization.

3336269040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The square root of 3336269040 is about 57760.4452891423. The cubic root of 3336269040 is about 1494.2399898336.

The spelling of 3336269040 in words is "three billion, three hundred thirty-six million, two hundred sixty-nine thousand, forty".