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968223240 = 233358531051
BaseRepresentation
bin111001101101011…
…110101000001000
32111110212211121000
4321231132220020
53440331120430
6240024215000
732664522165
oct7155365010
92443784530
10968223240
1145759a4a6
1223030a460
1312579257a
149283906c
155a005e60
hex39b5ea08

968223240 has 128 divisors (see below), whose sum is σ = 3234268800. Its totient is φ = 257644800.

The previous prime is 968223233. The next prime is 968223247. The reversal of 968223240 is 42322869.

968223240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (968223233) and next prime (968223247).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 968223195 and 968223204.

It is not an unprimeable number, because it can be changed into a prime (968223247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 920715 + ... + 921765.

It is an arithmetic number, because the mean of its divisors is an integer number (25267725).

Almost surely, 2968223240 is an apocalyptic number.

968223240 is a gapful number since it is divisible by the number (90) 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 968223240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617134400).

968223240 is an abundant number, since it is smaller than the sum of its proper divisors (2266045560).

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

968223240 is a wasteful number, since it uses less digits than its factorization.

968223240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 968223240 is about 31116.2857680669. The cubic root of 968223240 is about 989.2935271959.

The spelling of 968223240 in words is "nine hundred sixty-eight million, two hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 853 1051 1080 1706 2102 2559 3153 3412 4204 4265 5118 5255 6306 6824 7677 8408 8530 9459 10236 10510 12612 12795 15354 15765 17060 18918 20472 21020 23031 25224 25590 28377 30708 31530 34120 37836 38385 42040 46062 47295 51180 56754 61416 63060 75672 76770 92124 94590 102360 113508 115155 126120 141885 153540 184248 189180 227016 230310 283770 307080 378360 460620 567540 896503 921240 1135080 1793006 2689509 3586012 4482515 5379018 7172024 8068527 8965030 10758036 13447545 16137054 17930060 21516072 24205581 26895090 32274108 35860120 40342635 48411162 53790180 64548216 80685270 96822324 107580360 121027905 161370540 193644648 242055810 322741080 484111620 968223240