Search a number
-
+
2938404480 = 2735113732
BaseRepresentation
bin1010111100100100…
…0111111010000000
321120210010102011120
42233021013322000
522004212420410
61203324112240
7132550011624
oct25711077200
97523112146
102938404480
11127871a860
126a0095680
1337a9c929b
141dc371184
15122e78570
hexaf247e80

2938404480 has 192 divisors, whose sum is σ = 10245100320. Its totient is φ = 710430720.

The previous prime is 2938404463. The next prime is 2938404503. The reversal of 2938404480 is 844048392.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7877574 + ... + 7877946.

Almost surely, 22938404480 is an apocalyptic number.

2938404480 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 2938404480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5122550160).

2938404480 is an abundant number, since it is smaller than the sum of its proper divisors (7306695840).

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

2938404480 is an equidigital number, since it uses as much as digits as its factorization.

2938404480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 2938404480 is about 54207.0519397615. The cubic root of 2938404480 is about 1432.3105554933.

The spelling of 2938404480 in words is "two billion, nine hundred thirty-eight million, four hundred four thousand, four hundred eighty".