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168282306 = 23323243137
BaseRepresentation
bin10100000011111…
…00100011000010
3102201122121221000
422001330203002
5321040013211
624410512430
74112242653
oct1201744302
9381577830
10168282306
1186a99a95
1248435716
1328b3053a
14184c752a
15eb91656
hexa07c8c2

168282306 has 96 divisors (see below), whose sum is σ = 402937920. Its totient is φ = 52024896.

The previous prime is 168282299. The next prime is 168282377. The reversal of 168282306 is 603282861.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1228270 + ... + 1228406.

It is an arithmetic number, because the mean of its divisors is an integer number (4197270).

Almost surely, 2168282306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168282306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201468960).

168282306 is an abundant number, since it is smaller than the sum of its proper divisors (234655614).

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

168282306 is a wasteful number, since it uses less digits than its factorization.

168282306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 168282306 is about 12972.3670160846. The cubic root of 168282306 is about 552.0937340823.

The spelling of 168282306 in words is "one hundred sixty-eight million, two hundred eighty-two thousand, three hundred six".

Divisors: 1 2 3 6 9 18 23 27 43 46 54 69 86 129 137 138 207 258 274 387 411 414 529 621 774 822 989 1058 1161 1233 1242 1587 1978 2322 2466 2967 3151 3174 3699 4761 5891 5934 6302 7398 8901 9453 9522 11782 14283 17673 17802 18906 22747 26703 28359 28566 35346 45494 53019 53406 56718 68241 72473 85077 106038 135493 136482 144946 159057 170154 204723 217419 270986 318114 406479 409446 434838 614169 652257 812958 1219437 1228338 1304514 1956771 2438874 3116339 3658311 3913542 6232678 7316622 9349017 18698034 28047051 56094102 84141153 168282306