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40303116 = 2233789599
BaseRepresentation
bin1001100110111…
…1101000001100
32210211121111000
42121233220030
540304144431
63555500300
7666366540
oct231575014
983747430
1040303116
1120828367
12115b7690
1384717c9
1454d1a20
1538119e6
hex266fa0c

40303116 has 96 divisors (see below), whose sum is σ = 120960000. Its totient is φ = 11366784.

The previous prime is 40303099. The next prime is 40303139. The reversal of 40303116 is 61130304.

40303116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66985 + ... + 67583.

It is an arithmetic number, because the mean of its divisors is an integer number (1260000).

Almost surely, 240303116 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 40303116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480000).

40303116 is an abundant number, since it is smaller than the sum of its proper divisors (80656884).

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

40303116 is a wasteful number, since it uses less digits than its factorization.

40303116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 40303116 is about 6348.4735173111. The cubic root of 40303116 is about 342.8568848212.

The spelling of 40303116 in words is "forty million, three hundred three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 89 108 126 178 189 252 267 356 378 534 599 623 756 801 1068 1198 1246 1602 1797 1869 2396 2403 2492 3204 3594 3738 4193 4806 5391 5607 7188 7476 8386 9612 10782 11214 12579 16173 16772 16821 21564 22428 25158 32346 33642 37737 50316 53311 64692 67284 75474 106622 113211 150948 159933 213244 226422 319866 373177 452844 479799 639732 746354 959598 1119531 1439397 1492708 1919196 2239062 2878794 3358593 4478124 5757588 6717186 10075779 13434372 20151558 40303116