Search a number
-
+
3816936 = 233341431
BaseRepresentation
bin1110100011110111101000
321011220212000
432203313220
51434120221
6213451000
744305044
oct16436750
97156760
103816936
1121777a2
121340a60
13a38456
14715024
15505e26
hex3a3de8

3816936 has 64 divisors (see below), whose sum is σ = 10886400. Its totient is φ = 1238400.

The previous prime is 3816913. The next prime is 3816941. The reversal of 3816936 is 6396183.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3816936.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8641 + ... + 9071.

It is an arithmetic number, because the mean of its divisors is an integer number (170100).

Almost surely, 23816936 is an apocalyptic number.

3816936 is a gapful number since it is divisible by the number (36) 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 3816936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443200).

3816936 is an abundant number, since it is smaller than the sum of its proper divisors (7069464).

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

3816936 is a wasteful number, since it uses less digits than its factorization.

3816936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 477 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 3816936 is about 1953.6980319384. The cubic root of 3816936 is about 156.2805602091.

The spelling of 3816936 in words is "three million, eight hundred sixteen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 369 431 492 738 862 984 1107 1293 1476 1724 2214 2586 2952 3448 3879 4428 5172 7758 8856 10344 11637 15516 17671 23274 31032 35342 46548 53013 70684 93096 106026 141368 159039 212052 318078 424104 477117 636156 954234 1272312 1908468 3816936