Search a number
-
+
3004913472 = 2631117127659
BaseRepresentation
bin1011001100011011…
…0101011101000000
321202102021102100120
42303012311131000
522123224212342
61214101420240
7134315225451
oct26306653500
97672242316
103004913472
111302216a70
126ba40a680
1338b714b12
14207125128
15128c14aec
hexb31b5740

3004913472 has 224 divisors, whose sum is σ = 9269821440. Its totient is φ = 848977920.

The previous prime is 3004913447. The next prime is 3004913473. The reversal of 3004913472 is 2743194003.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3004913473) 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, 4559479 + ... + 4560137.

Almost surely, 23004913472 is an apocalyptic number.

3004913472 is a gapful number since it is divisible by the number (32) 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 3004913472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4634910720).

3004913472 is an abundant number, since it is smaller than the sum of its proper divisors (6264907968).

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

3004913472 is a wasteful number, since it uses less digits than its factorization.

3004913472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 3004913472 is about 54817.0910574430. The cubic root of 3004913472 is about 1443.0365244862.

The spelling of 3004913472 in words is "three billion, four million, nine hundred thirteen thousand, four hundred seventy-two".