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4067364 = 2237411181
BaseRepresentation
bin1111100001000000100100
321122122101010
433201000210
52020123424
6223102220
746400130
oct17410044
97578333
104067364
112328964
121441970
13ac5432
1477c3c0
15555229
hex3e1024

4067364 has 48 divisors (see below), whose sum is σ = 11120256. Its totient is φ = 1132800.

The previous prime is 4067363. The next prime is 4067381. The reversal of 4067364 is 4637604.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4067363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2854 + ... + 4034.

It is an arithmetic number, because the mean of its divisors is an integer number (231672).

Almost surely, 24067364 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 4067364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5560128).

4067364 is an abundant number, since it is smaller than the sum of its proper divisors (7052892).

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

4067364 is a wasteful number, since it uses less digits than its factorization.

4067364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 4067364 is about 2016.7706860226. The cubic root of 4067364 is about 159.6262631010.

The spelling of 4067364 in words is "four million, sixty-seven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 861 1148 1181 1722 2362 3444 3543 4724 7086 8267 14172 16534 24801 33068 48421 49602 96842 99204 145263 193684 290526 338947 581052 677894 1016841 1355788 2033682 4067364