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243342033030 = 23451037573853
BaseRepresentation
bin1110001010100001010…
…0001100000010000110
3212021002220222002110000
43202220110030002012
512441331030024110
6303442332142130
723403146103225
oct3425024140206
9767086862400
10243342033030
1194223263108
123b1b2907946
1319c408aca75
14bac648acbc
1564e35631c0
hex38a850c086

243342033030 has 160 divisors (see below), whose sum is σ = 661716753984. Its totient is φ = 64159651584.

The previous prime is 243342033019. The next prime is 243342033049. The reversal of 243342033030 is 30330243342.

243342033030 is a `hidden beast` number, since 2 + 4 + 334 + 20 + 3 + 303 + 0 = 666.

It is a super-2 number, since 2×2433420330302 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 243342032985 and 243342033003.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 63154584 + ... + 63158436.

Almost surely, 2243342033030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243342033030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330858376992).

243342033030 is an abundant number, since it is smaller than the sum of its proper divisors (418374720954).

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

243342033030 is a wasteful number, since it uses less digits than its factorization.

243342033030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4732 (or 4723 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 243342033030 its reverse (30330243342), we get a palindrome (273672276372).

The spelling of 243342033030 in words is "two hundred forty-three billion, three hundred forty-two million, thirty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 103 135 162 206 270 309 405 515 618 757 810 927 1030 1514 1545 1854 2271 2781 3090 3785 3853 4542 4635 5562 6813 7570 7706 8343 9270 11355 11559 13626 13905 16686 19265 20439 22710 23118 27810 34065 34677 38530 40878 41715 57795 61317 68130 69354 77971 83430 102195 104031 115590 122634 155942 173385 204390 208062 233913 306585 312093 346770 389855 396859 467826 520155 613170 624186 701739 779710 793718 1040310 1169565 1190577 1403478 1560465 1984295 2105217 2339130 2381154 2916721 3120930 3508695 3571731 3968590 4210434 5833442 5952885 6315651 7017390 7143462 8750163 10526085 10715193 11905770 12631302 14583605 17500326 17858655 21052170 21430386 26250489 29167210 31578255 32145579 35717310 43750815 52500978 53575965 63156510 64291158 78751467 87501630 107151930 131252445 157502934 160727895 236254401 262504890 300422263 321455790 393757335 472508802 600844526 787514670 901266789 1181272005 1502111315 1802533578 2362544010 2703800367 3004222630 4506333945 5407600734 8111401101 9012667890 13519001835 16222802202 24334203303 27038003670 40557005505 48668406606 81114011010 121671016515 243342033030