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4000342986 = 232378967489
BaseRepresentation
bin1110111001110000…
…0110001111001010
3101022210100110221100
43232130012033022
531143041433421
61500541122230
7201063232353
oct35634061712
911283313840
104000342986
1117730a8992
12937859376
134b9a11873
1429d402d2a
151862e1c26
hexee7063ca

4000342986 has 48 divisors (see below), whose sum is σ = 9001816200. Its totient is φ = 1282811904.

The previous prime is 4000342979. The next prime is 4000342993. The reversal of 4000342986 is 6892430004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4000342979) and next prime (4000342993).

It can be written as a sum of positive squares in 4 ways, for example, as 2428616961 + 1571726025 = 49281^2 + 39645^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4000342986.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 25530 + ... + 93018.

Almost surely, 24000342986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000342986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4500908100).

4000342986 is an abundant number, since it is smaller than the sum of its proper divisors (5001473214).

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

4000342986 is a wasteful number, since it uses less digits than its factorization.

4000342986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67623 (or 67620 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4000342986 is about 63248.2646876576. The cubic root of 4000342986 is about 1587.4464220329.

The spelling of 4000342986 in words is "four billion, three hundred forty-two thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 18 37 74 89 111 178 222 267 333 534 666 801 1602 3293 6586 9879 19758 29637 59274 67489 134978 202467 404934 607401 1214802 2497093 4994186 6006521 7491279 12013042 14982558 18019563 22473837 36039126 44947674 54058689 108117378 222241277 444482554 666723831 1333447662 2000171493 4000342986