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2983235640 = 233573112599
BaseRepresentation
bin1011000111010000…
…1001000000111000
321200220111001221220
42301310021000320
522102202020030
61212005032040
7133633041000
oct26164110070
97626431856
102983235640
1112a0a60100
126b30b5620
13387094ab8
142042c1000
15126d81a10
hexb1d09038

2983235640 has 384 divisors, whose sum is σ = 11491200000. Its totient is φ = 618858240.

The previous prime is 2983235603. The next prime is 2983235693. The reversal of 2983235640 is 465323892.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 2983235592 and 2983235601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4980061 + ... + 4980659.

It is an arithmetic number, because the mean of its divisors is an integer number (29925000).

Almost surely, 22983235640 is an apocalyptic number.

2983235640 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 2983235640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5745600000).

2983235640 is an abundant number, since it is smaller than the sum of its proper divisors (8507964360).

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

2983235640 is a wasteful number, since it uses less digits than its factorization.

2983235640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 2983235640 is about 54619.0043849208. The cubic root of 2983235640 is about 1439.5580626854.

The spelling of 2983235640 in words is "two billion, nine hundred eighty-three million, two hundred thirty-five thousand, six hundred forty".