Search a number
-
+
3280945470 = 2351149120249
BaseRepresentation
bin1100001110001111…
…0100000100111110
322110122200022001220
43003203310010332
523204410223340
61301322014210
7144206401455
oct30343640476
98418608056
103280945470
11143400a990
12776947366
1340397036a
14231a59b9c
1514308bed0
hexc38f413e

3280945470 has 64 divisors (see below), whose sum is σ = 8608032000. Its totient is φ = 793721600.

The previous prime is 3280945457. The next prime is 3280945477. The reversal of 3280945470 is 745490823.

3280945470 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×32809454702 = 21529206354227041800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3280945477) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151906 + ... + 172154.

It is an arithmetic number, because the mean of its divisors is an integer number (134500500).

Almost surely, 23280945470 is an apocalyptic number.

3280945470 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3280945470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4304016000).

3280945470 is an abundant number, since it is smaller than the sum of its proper divisors (5327086530).

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

3280945470 is a wasteful number, since it uses less digits than its factorization.

3280945470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20761.

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 3280945470 is about 57279.5379695053. The cubic root of 3280945470 is about 1485.9345159101.

The spelling of 3280945470 in words is "three billion, two hundred eighty million, nine hundred forty-five thousand, four hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 491 982 1473 2455 2946 4910 5401 7365 10802 14730 16203 20249 27005 32406 40498 54010 60747 81015 101245 121494 162030 202490 222739 303735 445478 607470 668217 1113695 1336434 2227390 3341085 6682170 9942259 19884518 29826777 49711295 59653554 99422590 109364849 149133885 218729698 298267770 328094547 546824245 656189094 1093648490 1640472735 3280945470