Search a number
-
+
3041569440 = 253457132579
BaseRepresentation
bin1011010101001010…
…1010101010100000
321211222020201220000
42311102222222200
522212120210230
61221451220000
7135241625250
oct26522525240
97758221800
103041569440
111320983158
1270a747600
133961aa540
1420bd47960
1512c055b60
hexb54aaaa0

3041569440 has 480 divisors, whose sum is σ = 13216452480. Its totient is φ = 641488896.

The previous prime is 3041569429. The next prime is 3041569451. The reversal of 3041569440 is 449651403.

It is an interprime number because it is at equal distance from previous prime (3041569429) and next prime (3041569451).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×30415694402 = 18502289316683827200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3041569395 and 3041569404.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1178071 + ... + 1180649.

It is an arithmetic number, because the mean of its divisors is an integer number (27534276).

Almost surely, 23041569440 is an apocalyptic number.

3041569440 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 3041569440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6608226240).

3041569440 is an abundant number, since it is smaller than the sum of its proper divisors (10174883040).

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

3041569440 is a wasteful number, since it uses less digits than its factorization.

3041569440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3041569440 is about 55150.4255649945. The cubic root of 3041569440 is about 1448.8805374552.

The spelling of 3041569440 in words is "three billion, forty-one million, five hundred sixty-nine thousand, four hundred forty".