Search a number
-
+
3994803360 = 25365291181
BaseRepresentation
bin1110111000011011…
…1101110010100000
3101022101221001000000
43232012331302200
531140132201420
61500222300000
7200665161012
oct35606756240
911271831000
103994803360
11176aa64989
12935a27600
134b8822292
1429c7a01b2
15185a9a690
hexee1bdca0

3994803360 has 336 divisors, whose sum is σ = 14650440840. Its totient is φ = 1027676160.

The previous prime is 3994803341. The next prime is 3994803367. The reversal of 3994803360 is 633084993.

It can be written as a sum of positive squares in 4 ways, for example, as 3829629456 + 165173904 = 61884^2 + 12852^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3994803367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3381970 + ... + 3383150.

Almost surely, 23994803360 is an apocalyptic number.

3994803360 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 3994803360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7325220420).

3994803360 is an abundant number, since it is smaller than the sum of its proper divisors (10655637480).

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

3994803360 is a wasteful number, since it uses less digits than its factorization.

3994803360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 3994803360 is about 63204.4568048805. The cubic root of 3994803360 is about 1586.7133247427.

The spelling of 3994803360 in words is "three billion, nine hundred ninety-four million, eight hundred three thousand, three hundred sixty".