Search a number
-
+
3684211812 = 2232596725889
BaseRepresentation
bin1101101110011000…
…1001110001100100
3100111202111100111100
43123212021301210
530021124234222
61405325240100
7160204166211
oct33346116144
910452440440
103684211812
111620706956
12869a03030
134693865b8
1426d430b08
151686984ac
hexdb989c64

3684211812 has 72 divisors (see below), whose sum is σ = 9612439200. Its totient is φ = 1189191168.

The previous prime is 3684211807. The next prime is 3684211813. The reversal of 3684211812 is 2181124863.

3684211812 is a `hidden beast` number, since 368 + 4 + 211 + 81 + 2 = 666.

3684211812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3684211813) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129364 + ... + 155252.

It is an arithmetic number, because the mean of its divisors is an integer number (133506100).

Almost surely, 23684211812 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3684211812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4806219600).

3684211812 is an abundant number, since it is smaller than the sum of its proper divisors (5928227388).

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

3684211812 is a wasteful number, since it uses less digits than its factorization.

3684211812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26025 (or 26020 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 3684211812 is about 60697.7084575686. The cubic root of 3684211812 is about 1544.4773020531.

It can be divided in two parts, 3684 and 211812, that added together give a triangular number (215496 = T656).

The spelling of 3684211812 in words is "three billion, six hundred eighty-four million, two hundred eleven thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 59 67 118 134 177 201 236 268 354 402 531 603 708 804 1062 1206 2124 2412 3953 7906 11859 15812 23718 25889 35577 47436 51778 71154 77667 103556 142308 155334 233001 310668 466002 932004 1527451 1734563 3054902 3469126 4582353 5203689 6109804 6938252 9164706 10407378 13747059 15611067 18329412 20814756 27494118 31222134 54988236 62444268 102339217 204678434 307017651 409356868 614035302 921052953 1228070604 1842105906 3684211812