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3319072 = 251953103
BaseRepresentation
bin1100101010010100100000
320020121220121
430222110200
51322202242
6155050024
740132411
oct14522440
96217817
103319072
111967739
121140914
138c2963
14625808
15458667
hex32a520

3319072 has 48 divisors (see below), whose sum is σ = 7076160. Its totient is φ = 1527552.

The previous prime is 3319067. The next prime is 3319081. The reversal of 3319072 is 2709133.

It is a super-2 number, since 2×33190722 = 22032477882368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32173 + ... + 32275.

It is an arithmetic number, because the mean of its divisors is an integer number (147420).

Almost surely, 23319072 is an apocalyptic number.

3319072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3319072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538080).

3319072 is an abundant number, since it is smaller than the sum of its proper divisors (3757088).

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

3319072 is a wasteful number, since it uses less digits than its factorization.

3319072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 3319072 is about 1821.8320449482. The cubic root of 3319072 is about 149.1668176536.

The spelling of 3319072 in words is "three million, three hundred nineteen thousand, seventy-two".

Divisors: 1 2 4 8 16 19 32 38 53 76 103 106 152 206 212 304 412 424 608 824 848 1007 1648 1696 1957 2014 3296 3914 4028 5459 7828 8056 10918 15656 16112 21836 31312 32224 43672 62624 87344 103721 174688 207442 414884 829768 1659536 3319072