Search a number
-
+
3164805 = 335717197
BaseRepresentation
bin1100000100101010000101
312221210022000
430010222011
51302233210
6151455513
735620560
oct14045205
95853260
103164805
111871846
121087599
1386a687
145c54d7
15427ac0
hex304a85

3164805 has 64 divisors (see below), whose sum is σ = 6842880. Its totient is φ = 1354752.

The previous prime is 3164803. The next prime is 3164807. The reversal of 3164805 is 5084613.

It is an interprime number because it is at equal distance from previous prime (3164803) and next prime (3164807).

It is not a de Polignac number, because 3164805 - 21 = 3164803 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3164801) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15967 + ... + 16163.

It is an arithmetic number, because the mean of its divisors is an integer number (106920).

Almost surely, 23164805 is an apocalyptic number.

3164805 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3164805 is an abundant number, since it is smaller than the sum of its proper divisors (3678075).

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

3164805 is a wasteful number, since it uses less digits than its factorization.

3164805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3164805 is about 1778.9898819274. The cubic root of 3164805 is about 146.8190192574.

It can be divided in two parts, 3164 and 805, that added together give a square (3969 = 632).

The spelling of 3164805 in words is "three million, one hundred sixty-four thousand, eight hundred five".

Divisors: 1 3 5 7 9 15 17 21 27 35 45 51 63 85 105 119 135 153 189 197 255 315 357 459 591 595 765 945 985 1071 1379 1773 1785 2295 2955 3213 3349 4137 5319 5355 6895 8865 10047 12411 16065 16745 20685 23443 26595 30141 37233 50235 62055 70329 90423 117215 150705 186165 210987 351645 452115 632961 1054935 3164805