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2946267984 = 2431119231132
BaseRepresentation
bin1010111110011100…
…0111101101010000
321121022220220212110
42233213013231100
522013221033414
61204204425320
7133003602402
oct25747075520
97538826773
102946267984
111282100820
126a2848240
1337c52054a
141dd41ab72
151239cd459
hexaf9c7b50

2946267984 has 240 divisors, whose sum is σ = 9201553920. Its totient is φ = 801884160.

The previous prime is 2946267953. The next prime is 2946267997. The reversal of 2946267984 is 4897626492.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26073112 + ... + 26073224.

It is an arithmetic number, because the mean of its divisors is an integer number (38339808).

Almost surely, 22946267984 is an apocalyptic number.

2946267984 is a gapful number since it is divisible by the number (24) 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 2946267984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4600776960).

2946267984 is an abundant number, since it is smaller than the sum of its proper divisors (6255285936).

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

2946267984 is a wasteful number, since it uses less digits than its factorization.

2946267984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 171 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 57.

The square root of 2946267984 is about 54279.5355912336. The cubic root of 2946267984 is about 1433.5870926713.

The spelling of 2946267984 in words is "two billion, nine hundred forty-six million, two hundred sixty-seven thousand, nine hundred eighty-four".