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2036306340 = 2232529390097
BaseRepresentation
bin111100101011111…
…1001000110100100
312020220200002011100
41321113321012210
513132243300330
6534021040100
7101314214115
oct17127710644
95226602140
102036306340
11955495102
12489b56030
13265b498c3
1415462a20c
15bdb85060
hex795f91a4

2036306340 has 72 divisors (see below), whose sum is σ = 6389805240. Its totient is φ = 524289024.

The previous prime is 2036306339. The next prime is 2036306381. The reversal of 2036306340 is 436036302.

2036306340 is a `hidden beast` number, since 20 + 3 + 6 + 3 + 0 + 634 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 416404836 + 1619901504 = 20406^2 + 40248^2 .

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 23 ways as a sum of consecutive naturals, for example, 189829 + ... + 200268.

It is an arithmetic number, because the mean of its divisors is an integer number (88747295).

Almost surely, 22036306340 is an apocalyptic number.

2036306340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2036306340 is an abundant number, since it is smaller than the sum of its proper divisors (4353498900).

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

2036306340 is a wasteful number, since it uses less digits than its factorization.

2036306340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390141 (or 390136 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 2036306340 is about 45125.4511334790. The cubic root of 2036306340 is about 1267.4992308855.

The spelling of 2036306340 in words is "two billion, thirty-six million, three hundred six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 390097 780194 1170291 1560388 1950485 2340582 3510873 3900970 4681164 5851455 7021746 7801940 11312813 11702910 14043492 17554365 22625626 23405820 33938439 35108730 45251252 56564065 67876878 70217460 101815317 113128130 135753756 169692195 203630634 226256260 339384390 407261268 509076585 678768780 1018153170 2036306340