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88304040 = 23335117433
BaseRepresentation
bin1010100001101…
…10100110101000
320011011022101000
411100312212220
5140101212130
612432355000
72121400116
oct520664650
9204138330
1088304040
1145933150
12256a5a60
13153aa016
14ba28ab6
157b44260
hex54369a8

88304040 has 128 divisors (see below), whose sum is σ = 321148800. Its totient is φ = 21404160.

The previous prime is 88304017. The next prime is 88304053. The reversal of 88304040 is 4040388.

It is a super-3 number, since 3×883040403 (a number of 25 digits) contains 333 as substring.

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 = 88303995 and 88304013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8164 + ... + 15596.

It is an arithmetic number, because the mean of its divisors is an integer number (2508975).

Almost surely, 288304040 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 88304040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160574400).

88304040 is an abundant number, since it is smaller than the sum of its proper divisors (232844760).

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

88304040 is a wasteful number, since it uses less digits than its factorization.

88304040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7464 (or 7454 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 88304040 is about 9397.0229328229. The cubic root of 88304040 is about 445.3076860421.

The spelling of 88304040 in words is "eighty-eight million, three hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 7433 11880 14866 22299 29732 37165 44598 59464 66897 74330 81763 89196 111495 133794 148660 163526 178392 200691 222990 245289 267588 297320 327052 334485 401382 408815 445980 490578 535176 654104 668970 735867 802764 817630 891960 981156 1003455 1226445 1337940 1471734 1605528 1635260 1962312 2006910 2207601 2452890 2675880 2943468 3270520 3679335 4013820 4415202 4905780 5886936 7358670 8027640 8830404 9811560 11038005 14717340 17660808 22076010 29434680 44152020 88304040