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3349080594 = 2342572313
BaseRepresentation
bin1100011110011110…
…1110101000010010
322122101212220220000
43013213232220102
523324331034334
61312154230430
7145664500236
oct30747565022
98571786800
103349080594
111469517902
12795725416
13414b080c2
1423ab145c6
1514904a299
hexc79eea12

3349080594 has 60 divisors (see below), whose sum is σ = 7557804474. Its totient is φ = 1108463616.

The previous prime is 3349080589. The next prime is 3349080607. The reversal of 3349080594 is 4950809433.

It is a happy number.

3349080594 is a `hidden beast` number, since 33 + 490 + 80 + 59 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3325021569 + 24059025 = 57663^2 + 4905^2 .

It is a super-2 number, since 2×33490805942 = 22432681650214785672, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 10699782 + ... + 10700094.

Almost surely, 23349080594 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3349080594, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3778902237).

3349080594 is an abundant number, since it is smaller than the sum of its proper divisors (4208723880).

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

3349080594 is an equidigital number, since it uses as much as digits as its factorization.

3349080594 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3349080594 is about 57871.2415107884. The cubic root of 3349080594 is about 1496.1502158945.

The spelling of 3349080594 in words is "three billion, three hundred forty-nine million, eighty thousand, five hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 257 313 514 626 771 939 1542 1878 2313 2817 4626 5634 6939 8451 13878 16902 20817 25353 41634 50706 66049 80441 132098 160882 198147 241323 396294 482646 594441 723969 1188882 1447938 1783323 2171907 3566646 4343814 5349969 6515721 10699938 13031442 20673337 41346674 62020011 124040022 186060033 372120066 558180099 1116360198 1674540297 3349080594