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334230000012 = 2232174711619733
BaseRepresentation
bin1001101110100011010…
…10010001000110001100
31011221201001201012021100
410313101222101012030
520434000340000022
6413313152503100
733101350060626
oct4672152210614
91157631635240
10334230000012
11119823137a07
1254938b4aa90
132569667469c
1412269291c16
158a628411ac
hex4dd1a9118c

334230000012 has 72 divisors (see below), whose sum is σ = 913589966016. Its totient is φ = 102625473024.

The previous prime is 334230000011. The next prime is 334230000067. The reversal of 334230000012 is 210000032433.

It is a super-2 number, since 2×3342300000122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 334230000012.

It is not an unprimeable number, because it can be changed into a prime (334230000011) by changing a digit.

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, 5781103 + ... + 5838630.

It is an arithmetic number, because the mean of its divisors is an integer number (12688749528).

Almost surely, 2334230000012 is an apocalyptic number.

It is an amenable number.

334230000012 is an abundant number, since it is smaller than the sum of its proper divisors (579359966004).

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

334230000012 is a wasteful number, since it uses less digits than its factorization.

334230000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11619807 (or 11619802 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 334230000012 its reverse (210000032433), we get a palindrome (544230032445).

The spelling of 334230000012 in words is "three hundred thirty-four billion, two hundred thirty million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 17 18 34 36 47 51 68 94 102 141 153 188 204 282 306 423 564 612 799 846 1598 1692 2397 3196 4794 7191 9588 14382 28764 11619733 23239466 34859199 46478932 69718398 104577597 139436796 197535461 209155194 395070922 418310388 546127451 592606383 790141844 1092254902 1185212766 1638382353 1777819149 2184509804 2370425532 3276764706 3555638298 4915147059 6553529412 7111276596 9284166667 9830294118 18568333334 19660588236 27852500001 37136666668 55705000002 83557500003 111410000004 167115000006 334230000012