Search a number
-
+
3816340 = 2251121983
BaseRepresentation
bin1110100011101110010100
321011220000221
432203232110
51434110330
6213444124
744303233
oct16435624
97156027
103816340
112177300
121340644
13a380b8
14714b1a
15505b7a
hex3a3b94

3816340 has 72 divisors (see below), whose sum is σ = 9384480. Its totient is φ = 1298880.

The previous prime is 3816311. The next prime is 3816377. The reversal of 3816340 is 436183.

3816340 = T20 + T21 + ... + T283.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45939 + ... + 46021.

It is an arithmetic number, because the mean of its divisors is an integer number (130340).

Almost surely, 23816340 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 3816340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4692240).

3816340 is an abundant number, since it is smaller than the sum of its proper divisors (5568140).

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

3816340 is a wasteful number, since it uses less digits than its factorization.

3816340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 3816340 is about 1953.5454947351. The cubic root of 3816340 is about 156.2724255812.

The spelling of 3816340 in words is "three million, eight hundred sixteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 83 95 110 121 166 190 209 220 242 332 380 415 418 484 605 830 836 913 1045 1210 1577 1660 1826 2090 2299 2420 3154 3652 4180 4565 4598 6308 7885 9130 9196 10043 11495 15770 17347 18260 20086 22990 31540 34694 40172 45980 50215 69388 86735 100430 173470 190817 200860 346940 381634 763268 954085 1908170 3816340