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2994351360 = 2835711131941
BaseRepresentation
bin1011001001111010…
…0010110100000000
321201200101210212020
42302132202310000
522113023220420
61213043201440
7134126365230
oct26236426400
97650353766
102994351360
1112a7262550
126b6976280
13389487450
14205975cc0
15127d2a340
hexb27a2d00

2994351360 has 1152 divisors, whose sum is σ = 13845565440. Its totient is φ = 530841600.

The previous prime is 2994351359. The next prime is 2994351391. The reversal of 2994351360 is 631534992.

It is a happy number.

It is a super-2 number, since 2×29943513602 = 17932280134267699200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 73032940 + ... + 73032980.

It is an arithmetic number, because the mean of its divisors is an integer number (12018720).

Almost surely, 22994351360 is an apocalyptic number.

2994351360 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 2994351360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6922782720).

2994351360 is an abundant number, since it is smaller than the sum of its proper divisors (10851214080).

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

2994351360 is a wasteful number, since it uses less digits than its factorization.

2994351360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The square root of 2994351360 is about 54720.6666626056. Note that the first 5 decimals coincide. The cubic root of 2994351360 is about 1441.3438072980.

The spelling of 2994351360 in words is "two billion, nine hundred ninety-four million, three hundred fifty-one thousand, three hundred sixty".