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339808122 = 23419532083
BaseRepresentation
bin10100010000010…
…000111101111010
3212200102001010000
4110100100331322
51143442324442
653415133430
711264215143
oct2420207572
9780361100
10339808122
111648a3965
1295974276
13555281c4
14331b6aca
151ec73d4c
hex14410f7a

339808122 has 80 divisors (see below), whose sum is σ = 817011360. Its totient is φ = 105232608.

The previous prime is 339808099. The next prime is 339808127. The reversal of 339808122 is 221808933.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (339808127) 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 39 ways as a sum of consecutive naturals, for example, 162093 + ... + 164175.

It is an arithmetic number, because the mean of its divisors is an integer number (10212642).

Almost surely, 2339808122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 339808122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408505680).

339808122 is an abundant number, since it is smaller than the sum of its proper divisors (477203238).

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

339808122 is a wasteful number, since it uses less digits than its factorization.

339808122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2169 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 339808122 is about 18433.8851575027. The cubic root of 339808122 is about 697.8218840382.

The spelling of 339808122 in words is "three hundred thirty-nine million, eight hundred eight thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 53 54 57 81 106 114 159 162 171 318 342 477 513 954 1007 1026 1431 1539 2014 2083 2862 3021 3078 4166 4293 6042 6249 8586 9063 12498 18126 18747 27189 37494 39577 54378 56241 79154 81567 110399 112482 118731 163134 168723 220798 237462 331197 337446 356193 662394 712386 993591 1068579 1987182 2097581 2137158 2980773 3205737 4195162 5961546 6292743 6411474 8942319 12585486 17884638 18878229 37756458 56634687 113269374 169904061 339808122