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4294116 = 22321011181
BaseRepresentation
bin10000011000010111100100
322002011102100
4100120113210
52044402431
6232012100
751333201
oct20302744
98064370
104294116
112473262
121531030
13b746c8
147daca8
1559c4e6
hex4185e4

4294116 has 36 divisors (see below), whose sum is σ = 10971324. Its totient is φ = 1416000.

The previous prime is 4294099. The next prime is 4294153. The reversal of 4294116 is 6114924.

It can be written as a sum of positive squares in 2 ways, for example, as 4040100 + 254016 = 2010^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (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 4294116.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3046 + ... + 4226.

It is an arithmetic number, because the mean of its divisors is an integer number (304759).

Almost surely, 24294116 is an apocalyptic number.

It is an amenable number.

4294116 is an abundant number, since it is smaller than the sum of its proper divisors (6677208).

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

4294116 is a wasteful number, since it uses less digits than its factorization.

4294116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1287 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 4294116 is about 2072.2248912703. The cubic root of 4294116 is about 162.5391274616.

The spelling of 4294116 in words is "four million, two hundred ninety-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1181 1212 1818 2362 3543 3636 4724 7086 10629 14172 21258 42516 119281 238562 357843 477124 715686 1073529 1431372 2147058 4294116