Search a number
-
+
3842316 = 22355967
BaseRepresentation
bin1110101010000100001100
321020012200000
432222010030
51440423231
6214204300
744442042
oct16520414
97205600
103842316
112194875
121353690
13a46b7a
14720392
1550d6e6
hex3aa10c

3842316 has 72 divisors (see below), whose sum is σ = 10395840. Its totient is φ = 1240272.

The previous prime is 3842303. The next prime is 3842317. The reversal of 3842316 is 6132483.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 3842316.

It is not an unprimeable number, because it can be changed into a prime (3842317) 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, 57315 + ... + 57381.

Almost surely, 23842316 is an apocalyptic number.

3842316 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 3842316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5197920).

3842316 is an abundant number, since it is smaller than the sum of its proper divisors (6553524).

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

3842316 is a wasteful number, since it uses less digits than its factorization.

3842316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 131 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 3842316 is about 1960.1826445513. The cubic root of 3842316 is about 156.6261813803.

Adding to 3842316 its reverse (6132483), we get a palindrome (9974799).

The spelling of 3842316 in words is "three million, eight hundred forty-two thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 67 81 108 118 134 162 177 201 236 243 268 324 354 402 486 531 603 708 804 972 1062 1206 1593 1809 2124 2412 3186 3618 3953 4779 5427 6372 7236 7906 9558 10854 11859 14337 15812 16281 19116 21708 23718 28674 32562 35577 47436 57348 65124 71154 106731 142308 213462 320193 426924 640386 960579 1280772 1921158 3842316