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293300028 = 2236714369
BaseRepresentation
bin10001011110110…
…110011100111100
3202102220012000000
4101132312130330
51100041100103
645034234300
710161003060
oct2136663474
9672805000
10293300028
1114061871a
1282285990
13489c3318
142ad4baa0
151ab38aa3
hex117b673c

293300028 has 84 divisors (see below), whose sum is σ = 879558960. Its totient is φ = 83794176.

The previous prime is 293300011. The next prime is 293300053. The reversal of 293300028 is 820003392.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 293299974 and 293300010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 13228 + ... + 27596.

It is an arithmetic number, because the mean of its divisors is an integer number (10470940).

Almost surely, 2293300028 is an apocalyptic number.

293300028 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 293300028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439779480).

293300028 is an abundant number, since it is smaller than the sum of its proper divisors (586258932).

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

293300028 is a wasteful number, since it uses less digits than its factorization.

293300028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14398 (or 14381 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 293300028 is about 17126.0044376965. The cubic root of 293300028 is about 664.4118477298.

The spelling of 293300028 in words is "two hundred ninety-three million, three hundred thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 729 756 972 1134 1458 1701 2268 2916 3402 5103 6804 10206 14369 20412 28738 43107 57476 86214 100583 129321 172428 201166 258642 301749 387963 402332 517284 603498 775926 905247 1163889 1206996 1551852 1810494 2327778 2715741 3491667 3620988 4655556 5431482 6983334 8147223 10475001 10862964 13966668 16294446 20950002 24441669 32588892 41900004 48883338 73325007 97766676 146650014 293300028