Search a number
-
+
3481484760 = 23335131931421
BaseRepresentation
bin1100111110000011…
…0011110111011000
322222122000202021000
43033200303313120
524112230003020
61333244145000
7152163063225
oct31740636730
98878022230
103481484760
111527231036
12811b38160
13436385c70
1425053c94c
151559a1090
hexcf833dd8

3481484760 has 512 divisors, whose sum is σ = 13612032000. Its totient is φ = 783820800.

The previous prime is 3481484731. The next prime is 3481484761. The reversal of 3481484760 is 674841843.

3481484760 is a `hidden beast` number, since 34 + 8 + 148 + 476 + 0 = 666.

It is a super-2 number, since 2×34814847602 = 24241472268224515200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (3481484761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8269350 + ... + 8269770.

It is an arithmetic number, because the mean of its divisors is an integer number (26586000).

Almost surely, 23481484760 is an apocalyptic number.

3481484760 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 3481484760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6806016000).

3481484760 is an abundant number, since it is smaller than the sum of its proper divisors (10130547240).

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

3481484760 is a wasteful number, since it uses less digits than its factorization.

3481484760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 3481484760 is about 59004.1079925796. The cubic root of 3481484760 is about 1515.6124570103.

The spelling of 3481484760 in words is "three billion, four hundred eighty-one million, four hundred eighty-four thousand, seven hundred sixty".