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318497130 = 23357433919
BaseRepresentation
bin10010111110111…
…110000101101010
3211012022022221000
4102332332011222
51123013402010
651334255430
710615116030
oct2276760552
9735268830
10318497130
11153868676
128a7b7576
1350ca6153
143042a550
151ce647c0
hex12fbe16a

318497130 has 128 divisors (see below), whose sum is σ = 993484800. Its totient is φ = 71088192.

The previous prime is 318497119. The next prime is 318497161. The reversal of 318497130 is 31794813.

It is a happy number.

318497130 is a `hidden beast` number, since 31 + 8 + 497 + 130 = 666.

It is a Curzon number.

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 63 ways as a sum of consecutive naturals, for example, 79311 + ... + 83229.

It is an arithmetic number, because the mean of its divisors is an integer number (7761600).

Almost surely, 2318497130 is an apocalyptic number.

318497130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 318497130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496742400).

318497130 is an abundant number, since it is smaller than the sum of its proper divisors (674987670).

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

318497130 is a wasteful number, since it uses less digits than its factorization.

318497130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3985 (or 3979 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 318497130 is about 17846.4878897782. The cubic root of 318497130 is about 682.9179181757.

The spelling of 318497130 in words is "three hundred eighteen million, four hundred ninety-seven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 43 45 54 63 70 86 90 105 126 129 135 189 210 215 258 270 301 315 378 387 430 602 630 645 774 903 945 1161 1290 1505 1806 1890 1935 2322 2709 3010 3870 3919 4515 5418 5805 7838 8127 9030 11610 11757 13545 16254 19595 23514 27090 27433 35271 39190 40635 54866 58785 70542 81270 82299 105813 117570 137165 164598 168517 176355 211626 246897 274330 337034 352710 411495 493794 505551 529065 740691 822990 842585 1011102 1058130 1179619 1234485 1481382 1516653 1685170 2359238 2468970 2527755 3033306 3538857 3703455 4549959 5055510 5898095 7077714 7406910 7583265 9099918 10616571 11796190 15166530 17694285 21233142 22749795 31849713 35388570 45499590 53082855 63699426 106165710 159248565 318497130