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345328676 = 227211214561
BaseRepresentation
bin10100100101010…
…100110000100100
3220001210111212222
4110211110300210
51201401004201
654133331512
711362150100
oct2445246044
9801714788
10345328676
11167a24600
1297796b98
135670bbc4
1433c12900
15204b491b
hex14954c24

345328676 has 54 divisors (see below), whose sum is σ = 772761654. Its totient is φ = 134534400.

The previous prime is 345328673. The next prime is 345328679. The reversal of 345328676 is 676823543.

It is an interprime number because it is at equal distance from previous prime (345328673) and next prime (345328679).

It can be written as a sum of positive squares in only one way, i.e., 335842276 + 9486400 = 18326^2 + 3080^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (345328673) 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 17 ways as a sum of consecutive naturals, for example, 16436 + ... + 30996.

It is an arithmetic number, because the mean of its divisors is an integer number (14310401).

Almost surely, 2345328676 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 345328676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386380827).

345328676 is an abundant number, since it is smaller than the sum of its proper divisors (427432978).

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

345328676 is a wasteful number, since it uses less digits than its factorization.

345328676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14601 (or 14581 counting only the distinct ones).

The product of its digits is 725760, while the sum is 44.

The square root of 345328676 is about 18583.0211752557. The cubic root of 345328676 is about 701.5805618249.

The spelling of 345328676 in words is "three hundred forty-five million, three hundred twenty-eight thousand, six hundred seventy-six".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 484 539 847 1078 1694 2156 3388 5929 11858 14561 23716 29122 58244 101927 160171 203854 320342 407708 640684 713489 1121197 1426978 1761881 2242394 2853956 3523762 4484788 7047524 7848379 12333167 15696758 24666334 31393516 49332668 86332169 172664338 345328676