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290327940 = 223257232917
BaseRepresentation
bin10001010011100…
…000110110000100
3202020022012001200
4101103200312010
51043310443230
644450422500
710123514100
oct2123406604
9666265050
10290327940
11139978751
1281291a30
13481c25a6
142a7b6900
151a74d160
hex114e0d84

290327940 has 108 divisors (see below), whose sum is σ = 1024473996. Its totient is φ = 66358656.

The previous prime is 290327897. The next prime is 290327953. The reversal of 290327940 is 49723092.

290327940 is a `hidden beast` number, since 290 + 327 + 9 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 130507776 + 159820164 = 11424^2 + 12642^2 .

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 = 290327895 and 290327904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7639 + ... + 25278.

Almost surely, 2290327940 is an apocalyptic number.

290327940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

290327940 is an abundant number, since it is smaller than the sum of its proper divisors (734146056).

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

290327940 is a wasteful number, since it uses less digits than its factorization.

290327940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32946 (or 32934 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 290327940 is about 17039.0122953181. The cubic root of 290327940 is about 662.1600030671.

The spelling of 290327940 in words is "two hundred ninety million, three hundred twenty-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 32917 65834 98751 131668 164585 197502 230419 296253 329170 395004 460838 493755 592506 658340 691257 921676 987510 1152095 1185012 1382514 1481265 1612933 1975020 2073771 2304190 2765028 2962530 3225866 3456285 4147542 4608380 4838799 5925060 6451732 6912570 8064665 8295084 9677598 10368855 13825140 14516397 16129330 19355196 20737710 24193995 29032794 32258660 41475420 48387990 58065588 72581985 96775980 145163970 290327940