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3029958096 = 2431122332239
BaseRepresentation
bin1011010010011001…
…0111110111010000
321211011101211010020
42310212113313100
522201132124341
61220354303440
7135041135034
oct26446276720
97734354106
103029958096
111315372400
12706887b80
13393973419
1420a5a41c4
1512b010566
hexb4997dd0

3029958096 has 120 divisors (see below), whose sum is σ = 8644446720. Its totient is φ = 913820160.

The previous prime is 3029958053. The next prime is 3029958109. The reversal of 3029958096 is 6908599203.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 1352145 + ... + 1354383.

It is an arithmetic number, because the mean of its divisors is an integer number (72037056).

Almost surely, 23029958096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3029958096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4322223360).

3029958096 is an abundant number, since it is smaller than the sum of its proper divisors (5614488624).

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

3029958096 is a wasteful number, since it uses less digits than its factorization.

3029958096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 51.

The square root of 3029958096 is about 55045.0551457622. The cubic root of 3029958096 is about 1447.0344615713.

The spelling of 3029958096 in words is "three billion, twenty-nine million, nine hundred fifty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 233 242 264 363 466 484 528 699 726 932 968 1398 1452 1864 1936 2239 2563 2796 2904 3728 4478 5126 5592 5808 6717 7689 8956 10252 11184 13434 15378 17912 20504 24629 26868 28193 30756 35824 41008 49258 53736 56386 61512 73887 84579 98516 107472 112772 123024 147774 169158 197032 225544 270919 295548 338316 394064 451088 521687 541838 591096 676632 812757 1043374 1083676 1182192 1353264 1565061 1625514 2086748 2167352 3130122 3251028 4173496 4334704 5738557 6260244 6502056 8346992 11477114 12520488 13004112 17215671 22954228 25040976 34431342 45908456 63124127 68862684 91816912 126248254 137725368 189372381 252496508 275450736 378744762 504993016 757489524 1009986032 1514979048 3029958096