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3058164 = 22321719263
BaseRepresentation
bin1011101010100111110100
312202101000100
423222213310
51240330124
6145314100
734664634
oct13524764
95671010
103058164
1117a970a
121035930
13830c85
145986c4
154061c9
hex2ea9f4

3058164 has 72 divisors (see below), whose sum is σ = 8648640. Its totient is φ = 905472.

The previous prime is 3058163. The next prime is 3058171. The reversal of 3058164 is 4618503.

3058164 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3058163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11497 + ... + 11759.

It is an arithmetic number, because the mean of its divisors is an integer number (120120).

Almost surely, 23058164 is an apocalyptic number.

3058164 is a gapful number since it is divisible by the number (34) 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 3058164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4324320).

3058164 is an abundant number, since it is smaller than the sum of its proper divisors (5590476).

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

3058164 is a wasteful number, since it uses less digits than its factorization.

3058164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3058164 is about 1748.7607040416. The cubic root of 3058164 is about 145.1510751999.

The spelling of 3058164 in words is "three million, fifty-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 102 114 153 171 204 228 263 306 323 342 526 612 646 684 789 969 1052 1292 1578 1938 2367 2907 3156 3876 4471 4734 4997 5814 8942 9468 9994 11628 13413 14991 17884 19988 26826 29982 40239 44973 53652 59964 80478 84949 89946 160956 169898 179892 254847 339796 509694 764541 1019388 1529082 3058164