Search a number
-
+
3385668 = 22311131973
BaseRepresentation
bin1100111010100101000100
320101000021010
430322211010
51331320133
6200322220
740530516
oct14724504
96330233
103385668
111a02780
121173370
13917070
14641bb6
1546d263
hex33a944

3385668 has 48 divisors (see below), whose sum is σ = 9285696. Its totient is φ = 946560.

The previous prime is 3385661. The next prime is 3385699. The reversal of 3385668 is 8665833.

It is a super-2 number, since 2×33856682 = 22925495612448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (3385661) 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, 730 + ... + 2702.

It is an arithmetic number, because the mean of its divisors is an integer number (193452).

Almost surely, 23385668 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 3385668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4642848).

3385668 is an abundant number, since it is smaller than the sum of its proper divisors (5900028).

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

3385668 is a wasteful number, since it uses less digits than its factorization.

3385668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004 (or 2002 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 3385668 is about 1840.0184781681. The cubic root of 3385668 is about 150.1578782159.

It can be divided in two parts, 338 and 5668, that added together give a palindrome (6006).

The spelling of 3385668 in words is "three million, three hundred eighty-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1716 1973 3946 5919 7892 11838 21703 23676 25649 43406 51298 65109 76947 86812 102596 130218 153894 260436 282139 307788 564278 846417 1128556 1692834 3385668