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293320272 = 24372311401
BaseRepresentation
bin10001011110111…
…011011001010000
3202102221012202210
4101132323121100
51100042222042
645034512120
710161116100
oct2136733120
9672835683
10293320272
11140631953
1282295640
13489cc5bb
142ad55200
151ab3ea9c
hex117bb650

293320272 has 120 divisors (see below), whose sum is σ = 886496832. Its totient is φ = 83328000.

The previous prime is 293320253. The next prime is 293320327. The reversal of 293320272 is 272023392.

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, 731272 + ... + 731672.

Almost surely, 2293320272 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 293320272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443248416).

293320272 is an abundant number, since it is smaller than the sum of its proper divisors (593176560).

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

293320272 is a wasteful number, since it uses less digits than its factorization.

293320272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 293320272 is about 17126.5954585259. The cubic root of 293320272 is about 664.4271336062.

The spelling of 293320272 in words is "two hundred ninety-three million, three hundred twenty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 311 336 392 401 588 622 784 802 933 1176 1203 1244 1604 1866 2177 2352 2406 2488 2807 3208 3732 4354 4812 4976 5614 6416 6531 7464 8421 8708 9624 11228 13062 14928 15239 16842 17416 19248 19649 22456 26124 30478 33684 34832 39298 44912 45717 52248 58947 60956 67368 78596 91434 104496 117894 121912 124711 134736 157192 182868 235788 243824 249422 314384 365736 374133 471576 498844 731472 748266 872977 943152 997688 1496532 1745954 1995376 2618931 2993064 3491908 5237862 5986128 6110839 6983816 10475724 12221678 13967632 18332517 20951448 24443356 36665034 41902896 48886712 73330068 97773424 146660136 293320272