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2997423360 = 28335432017
BaseRepresentation
bin1011001010101001…
…0000110100000000
321201220011212212000
42302222100310000
522114320021420
61213233104000
7134164451421
oct26252206400
97656155760
102997423360
1112a8a70598
126b79b8000
13389cc17b9
14206135648
15128235690
hexb2a90d00

2997423360 has 288 divisors, whose sum is σ = 10889450880. Its totient is φ = 780337152.

The previous prime is 2997423349. The next prime is 2997423379. The reversal of 2997423360 is 633247992.

2997423360 is a `hidden beast` number, since 299 + 74 + 233 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1485072 + ... + 1487088.

Almost surely, 22997423360 is an apocalyptic number.

2997423360 is a gapful number since it is divisible by the number (20) 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 2997423360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5444725440).

2997423360 is an abundant number, since it is smaller than the sum of its proper divisors (7892027520).

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

2997423360 is a wasteful number, since it uses less digits than its factorization.

2997423360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 2997423360 is about 54748.7293003226. The cubic root of 2997423360 is about 1441.8365456016.

The spelling of 2997423360 in words is "two billion, nine hundred ninety-seven million, four hundred twenty-three thousand, three hundred sixty".