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3304942080 = 293511192971
BaseRepresentation
bin1100010011111101…
…0110101000000000
322112022211110020020
43010333112220000
523232031121310
61303540213440
7144620354436
oct30477265000
98468743206
103304942080
11144660a9a0
1278299a280
1340892293b
14234d04d56
1514522c170
hexc4fd6a00

3304942080 has 640 divisors, whose sum is σ = 12727756800. Its totient is φ = 722534400.

The previous prime is 3304942073. The next prime is 3304942093. The reversal of 3304942080 is 802494033.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46548445 + ... + 46548515.

It is an arithmetic number, because the mean of its divisors is an integer number (19887120).

Almost surely, 23304942080 is an apocalyptic number.

3304942080 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 3304942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6363878400).

3304942080 is an abundant number, since it is smaller than the sum of its proper divisors (9422814720).

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

3304942080 is a wasteful number, since it uses less digits than its factorization.

3304942080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 3304942080 is about 57488.6256576029. The cubic root of 3304942080 is about 1489.5483939829.

The spelling of 3304942080 in words is "three billion, three hundred four million, nine hundred forty-two thousand, eighty".