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3030666024 = 23317231272543
BaseRepresentation
bin1011010010100100…
…0100101100101000
321211012201210012210
42310221010230220
522201322303044
61220421405120
7135050144001
oct26451045450
97735653183
103030666024
111315806271
12706b697a0
13393b60709
1420a70a1a8
1512b1001b9
hexb4a44b28

3030666024 has 128 divisors (see below), whose sum is σ = 8440381440. Its totient is φ = 901942272.

The previous prime is 3030666011. The next prime is 3030666053. The reversal of 3030666024 is 4206660303.

It is a junction number, because it is equal to n+sod(n) for n = 3030665982 and 3030666000.

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 31 ways as a sum of consecutive naturals, for example, 1190497 + ... + 1193039.

It is an arithmetic number, because the mean of its divisors is an integer number (65940480).

Almost surely, 23030666024 is an apocalyptic number.

3030666024 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3030666024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4220190720).

3030666024 is an abundant number, since it is smaller than the sum of its proper divisors (5409715416).

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

3030666024 is a wasteful number, since it uses less digits than its factorization.

3030666024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719 (or 2715 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 3030666024 is about 55051.4852115726. The cubic root of 3030666024 is about 1447.1471492070.

The spelling of 3030666024 in words is "three billion, thirty million, six hundred sixty-six thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 127 136 138 184 204 254 276 381 391 408 508 552 762 782 1016 1173 1524 1564 2159 2346 2543 2921 3048 3128 4318 4692 5086 5842 6477 7629 8636 8763 9384 10172 11684 12954 15258 17272 17526 20344 23368 25908 30516 35052 43231 49657 51816 58489 61032 70104 86462 99314 116978 129693 148971 172924 175467 198628 233956 259386 297942 322961 345848 350934 397256 467912 518772 595884 645922 701868 968883 994313 1037544 1191768 1291844 1403736 1937766 1988626 2583688 2982939 3875532 3977252 5490337 5965878 7428103 7751064 7954504 10980674 11931756 14856206 16471011 21961348 22284309 23863512 29712412 32942022 43922696 44568618 59424824 65884044 89137236 126277751 131768088 178274472 252555502 378833253 505111004 757666506 1010222008 1515333012 3030666024