Search a number
-
+
2969274240 = 273352331241
BaseRepresentation
bin1011000011111011…
…1000011110000000
321122221012202112000
42300332320132000
522040113233430
61210345504000
7133403262132
oct26076703600
97587182460
102969274240
111294094759
126aa4a2000
1338421710a
142024c9052
15125a24e60
hexb0fb8780

2969274240 has 512 divisors, whose sum is σ = 11374387200. Its totient is φ = 729907200.

The previous prime is 2969274223. The next prime is 2969274241. The reversal of 2969274240 is 424729692.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2969274241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12320520 + ... + 12320760.

It is an arithmetic number, because the mean of its divisors is an integer number (22215600).

Almost surely, 22969274240 is an apocalyptic number.

2969274240 is a gapful number since it is divisible by the number (20) 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 2969274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5687193600).

2969274240 is an abundant number, since it is smaller than the sum of its proper divisors (8405112960).

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

2969274240 is a wasteful number, since it uses less digits than its factorization.

2969274240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2969274240 is about 54491.0473380720. The cubic root of 2969274240 is about 1437.3088627025.

The spelling of 2969274240 in words is "two billion, nine hundred sixty-nine million, two hundred seventy-four thousand, two hundred forty".