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368456130 = 232571734403
BaseRepresentation
bin10101111101100…
…011000111000010
3221200022111210100
4111331203013002
51223311044010
6100321143230
712062553060
oct2575430702
9850274710
10368456130
11179a905a9
12a348ab16
135b4489a3
1436d13030
15225322c0
hex15f631c2

368456130 has 96 divisors (see below), whose sum is σ = 1159277184. Its totient is φ = 79262208.

The previous prime is 368456119. The next prime is 368456131. The reversal of 368456130 is 31654863.

368456130 is a `hidden beast` number, since 3 + 68 + 4 + 561 + 30 = 666.

368456130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (368456131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6492 + ... + 27911.

It is an arithmetic number, because the mean of its divisors is an integer number (12075804).

Almost surely, 2368456130 is an apocalyptic number.

368456130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

368456130 is an abundant number, since it is smaller than the sum of its proper divisors (790821054).

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

368456130 is a wasteful number, since it uses less digits than its factorization.

368456130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34440 (or 34437 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 368456130 is about 19195.2111215272. The cubic root of 368456130 is about 716.9055272550.

The spelling of 368456130 in words is "three hundred sixty-eight million, four hundred fifty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 30 34 35 42 45 51 63 70 85 90 102 105 119 126 153 170 210 238 255 306 315 357 510 595 630 714 765 1071 1190 1530 1785 2142 3570 5355 10710 34403 68806 103209 172015 206418 240821 309627 344030 481642 516045 584851 619254 722463 1032090 1169702 1204105 1444926 1548135 1754553 2167389 2408210 2924255 3096270 3509106 3612315 4093957 4334778 5263659 5848510 7224630 8187914 8772765 10527318 10836945 12281871 17545530 20469785 21673890 24563742 26318295 36845613 40939570 52636590 61409355 73691226 122818710 184228065 368456130