[go: up one dir, main page]

Search a number
-
+
3164896 = 25771199
BaseRepresentation
bin1100000100101011100000
312221210102101
430010223200
51302234041
6151500144
735621050
oct14045340
95853371
103164896
111871919
121087654
1386a727
145c5560
15427b31
hex304ae0

3164896 has 48 divisors (see below), whose sum is σ = 7257600. Its totient is φ = 1330560.

The previous prime is 3164893. The next prime is 3164911. The reversal of 3164896 is 6984613.

3164896 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3164893) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15805 + ... + 16003.

It is an arithmetic number, because the mean of its divisors is an integer number (151200).

Almost surely, 23164896 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 3164896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628800).

3164896 is an abundant number, since it is smaller than the sum of its proper divisors (4092704).

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

3164896 is a wasteful number, since it uses less digits than its factorization.

3164896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 279 counting only the distinct ones).

The product of its digits is 31104, while the sum is 37.

The square root of 3164896 is about 1779.0154580554. The cubic root of 3164896 is about 146.8204264429.

The spelling of 3164896 in words is "three million, one hundred sixty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 71 112 142 199 224 284 398 497 568 796 994 1136 1393 1592 1988 2272 2786 3184 3976 5572 6368 7952 11144 14129 15904 22288 28258 44576 56516 98903 113032 197806 226064 395612 452128 791224 1582448 3164896