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3030612480 = 293257192343
BaseRepresentation
bin1011010010100011…
…0111101000000000
321211012122001202200
42310220313220000
522201314044410
61220420313200
7135046531620
oct26450675000
97735561680
103030612480
11131577a015
12706b42800
13393b4222c
1420a6d4880
1512b0de3c0
hexb4a37a00

3030612480 has 960 divisors, whose sum is σ = 13481994240. Its totient is φ = 613122048.

The previous prime is 3030612479. The next prime is 3030612511. The reversal of 3030612480 is 842160303.

It is a happy number.

3030612480 is a `hidden beast` number, since 3 + 0 + 3 + 0 + 612 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×30306124802 = 18369224007863500800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70479339 + ... + 70479381.

It is an arithmetic number, because the mean of its divisors is an integer number (14043744).

Almost surely, 23030612480 is an apocalyptic number.

3030612480 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 3030612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6740997120).

3030612480 is an abundant number, since it is smaller than the sum of its proper divisors (10451381760).

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

3030612480 is a wasteful number, since it uses less digits than its factorization.

3030612480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3030612480 is about 55050.9989010190. The cubic root of 3030612480 is about 1447.1386267125.

Adding to 3030612480 its reverse (842160303), we get a palindrome (3872772783).

The spelling of 3030612480 in words is "three billion, thirty million, six hundred twelve thousand, four hundred eighty".