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168706304 = 2813163311
BaseRepresentation
bin10100000111001…
…00000100000000
3102202110011112122
422003210010000
5321142100204
624423543412
74115660054
oct1203440400
9382404478
10168706304
11872595a8
12485bab68
1328c4b520
1418597c64
15ec270be
hexa0e4100

168706304 has 72 divisors (see below), whose sum is σ = 366055872. Its totient is φ = 77137920.

The previous prime is 168706277. The next prime is 168706327. The reversal of 168706304 is 403607861.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 542309 + ... + 542619.

Almost surely, 2168706304 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 168706304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183027936).

168706304 is an abundant number, since it is smaller than the sum of its proper divisors (197349568).

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

168706304 is a wasteful number, since it uses less digits than its factorization.

168706304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 168706304 is about 12988.6990880534. The cubic root of 168706304 is about 552.5570236592.

The spelling of 168706304 in words is "one hundred sixty-eight million, seven hundred six thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 163 208 256 311 326 416 622 652 832 1244 1304 1664 2119 2488 2608 3328 4043 4238 4976 5216 8086 8476 9952 10432 16172 16952 19904 20864 32344 33904 39808 41728 50693 64688 67808 79616 101386 129376 135616 202772 258752 271232 405544 517504 542464 659009 811088 1035008 1318018 1622176 2636036 3244352 5272072 6488704 10544144 12977408 21088288 42176576 84353152 168706304