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3353064 = 2331113977
BaseRepresentation
bin1100110010100111101000
320022100112120
430302213220
51324244224
6155511240
740333461
oct14624750
96270476
103353064
111990230
121158520
13905280
14633d68
15463779
hex3329e8

3353064 has 64 divisors (see below), whose sum is σ = 9858240. Its totient is φ = 936960.

The previous prime is 3353057. The next prime is 3353069. The reversal of 3353064 is 4603533.

3353064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33530642 = 22486076376192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3353069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2944 + ... + 3920.

It is an arithmetic number, because the mean of its divisors is an integer number (154035).

Almost surely, 23353064 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 3353064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4929120).

3353064 is an abundant number, since it is smaller than the sum of its proper divisors (6505176).

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

3353064 is a wasteful number, since it uses less digits than its factorization.

3353064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 3353064 is about 1831.1373514840. The cubic root of 3353064 is about 149.6743155985.

Adding to 3353064 its reverse (4603533), we get a palindrome (7956597).

The spelling of 3353064 in words is "three million, three hundred fifty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 977 1144 1716 1954 2931 3432 3908 5862 7816 10747 11724 12701 21494 23448 25402 32241 38103 42988 50804 64482 76206 85976 101608 128964 139711 152412 257928 279422 304824 419133 558844 838266 1117688 1676532 3353064