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345829806 = 232710332657
BaseRepresentation
bin10100100111001…
…111000110101110
3220002201222022100
4110213033012232
51202013023211
654152155530
711366335110
oct2447170656
9802658270
10345829806
11168237063
1297998ba6
135685602a
1433d033b0
1520563156
hex149cf1ae

345829806 has 48 divisors (see below), whose sum is σ = 857492064. Its totient is φ = 98675712.

The previous prime is 345829777. The next prime is 345829829. The reversal of 345829806 is 608928543.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128830 + ... + 131486.

It is an arithmetic number, because the mean of its divisors is an integer number (17864418).

Almost surely, 2345829806 is an apocalyptic number.

345829806 is an abundant number, since it is smaller than the sum of its proper divisors (511662258).

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

345829806 is a wasteful number, since it uses less digits than its factorization.

345829806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3705 (or 3702 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 345829806 is about 18596.4998319576. The cubic root of 345829806 is about 701.9197682675.

The spelling of 345829806 in words is "three hundred forty-five million, eight hundred twenty-nine thousand, eight hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1033 2066 2657 3099 5314 6198 7231 7971 9297 14462 15942 18594 18599 21693 23913 37198 43386 47826 55797 65079 111594 130158 167391 334782 2744681 5489362 8234043 16468086 19212767 24702129 38425534 49404258 57638301 115276602 172914903 345829806