Search a number
-
+
3388164 = 2231337587
BaseRepresentation
bin1100111011001100000100
320101010200120
430323030010
51331410124
6200341540
740541013
oct14731404
96333616
103388164
111a0463a
1211748b0
13918240
14642a7a
1546dd79
hex33b304

3388164 has 48 divisors (see below), whose sum is σ = 8758848. Its totient is φ = 1012608.

The previous prime is 3388109. The next prime is 3388169. The reversal of 3388164 is 4618833.

It is a super-2 number, since 2×33881642 = 22959310581792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3388169) 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, 5479 + ... + 6065.

It is an arithmetic number, because the mean of its divisors is an integer number (182476).

Almost surely, 23388164 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 3388164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379424).

3388164 is an abundant number, since it is smaller than the sum of its proper divisors (5370684).

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

3388164 is a wasteful number, since it uses less digits than its factorization.

3388164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 642 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 3388164 is about 1840.6966072658. The cubic root of 3388164 is about 150.1947692125.

The spelling of 3388164 in words is "three million, three hundred eighty-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 222 444 481 587 962 1174 1443 1761 1924 2348 2886 3522 5772 7044 7631 15262 21719 22893 30524 43438 45786 65157 86876 91572 130314 260628 282347 564694 847041 1129388 1694082 3388164