Search a number
-
+
3486684000 = 25353290557
BaseRepresentation
bin1100111111010010…
…1001001101100000
322222222210220021110
43033310221031200
524120042342000
61333551423320
7152255216322
oct31764511540
98888726243
103486684000
11152a162328
12813824b40
13437486637
142510d3612
1515617b850
hexcfd29360

3486684000 has 96 divisors (see below), whose sum is σ = 11422416096. Its totient is φ = 929779200.

The previous prime is 3486683999. The next prime is 3486684013. The reversal of 3486684000 is 4866843.

3486684000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 3486684000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133279 + ... + 157278.

It is an arithmetic number, because the mean of its divisors is an integer number (118983501).

Almost surely, 23486684000 is an apocalyptic number.

3486684000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3486684000 is an abundant number, since it is smaller than the sum of its proper divisors (7935732096).

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

3486684000 is a wasteful number, since it uses less digits than its factorization.

3486684000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290585 (or 290567 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 3486684000 is about 59048.1498440044. The cubic root of 3486684000 is about 1516.3665522725.

The spelling of 3486684000 in words is "three billion, four hundred eighty-six million, six hundred eighty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 290557 581114 871671 1162228 1452785 1743342 2324456 2905570 3486684 4358355 4648912 5811140 6973368 7263925 8716710 9297824 11622280 13946736 14527850 17433420 21791775 23244560 27893472 29055700 34866840 36319625 43583550 46489120 58111400 69733680 72639250 87167100 108958875 116222800 139467360 145278500 174334200 217917750 232445600 290557000 348668400 435835500 581114000 697336800 871671000 1162228000 1743342000 3486684000