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2983414140 = 2233572633001
BaseRepresentation
bin1011000111010011…
…0100100101111100
321200220211010211000
42301310310211330
522102223223030
61212012530300
7133634413260
oct26164644574
97626733730
102983414140
1112a1072223
126b3180990
13387128115
1420432a0a0
15126db9860
hexb1d3497c

2983414140 has 192 divisors, whose sum is σ = 10651576320. Its totient is φ = 679104000.

The previous prime is 2983414139. The next prime is 2983414141. The reversal of 2983414140 is 414143892.

It is a happy number.

2983414140 is a `hidden beast` number, since 29 + 83 + 414 + 140 = 666.

It is an interprime number because it is at equal distance from previous prime (2983414139) and next prime (2983414141).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2983414095 and 2983414104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2983414141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 992640 + ... + 995640.

It is an arithmetic number, because the mean of its divisors is an integer number (55476960).

Almost surely, 22983414140 is an apocalyptic number.

2983414140 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 2983414140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5325788160).

2983414140 is an abundant number, since it is smaller than the sum of its proper divisors (7668162180).

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

2983414140 is a wasteful number, since it uses less digits than its factorization.

2983414140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3289 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2983414140 is about 54620.6384071076. The cubic root of 2983414140 is about 1439.5867737920.

The spelling of 2983414140 in words is "two billion, nine hundred eighty-three million, four hundred fourteen thousand, one hundred forty".