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3016456968 = 2337373731301
BaseRepresentation
bin1011001111001011…
…0111101100001000
321210012222220001110
42303302313230020
522134203110333
61215153050320
7134515314120
oct26362675410
97705886043
103016456968
111308790848
127022569a0
13390c270a5
1420888bc80
15129c45063
hexb3cb7b08

3016456968 has 128 divisors (see below), whose sum is σ = 8881931520. Its totient is φ = 835660800.

The previous prime is 3016456913. The next prime is 3016456981. The reversal of 3016456968 is 8696546103.

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 31 ways as a sum of consecutive naturals, for example, 2317918 + ... + 2319218.

It is an arithmetic number, because the mean of its divisors is an integer number (69390090).

Almost surely, 23016456968 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 3016456968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4440965760).

3016456968 is an abundant number, since it is smaller than the sum of its proper divisors (5865474552).

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

3016456968 is a wasteful number, since it uses less digits than its factorization.

3016456968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 3016456968 is about 54922.2811616561. The cubic root of 3016456968 is about 1444.8819909774.

The spelling of 3016456968 in words is "three billion, sixteen million, four hundred fifty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 373 444 518 746 777 888 1036 1119 1301 1492 1554 2072 2238 2602 2611 2984 3108 3903 4476 5204 5222 6216 7806 7833 8952 9107 10408 10444 13801 15612 15666 18214 20888 27321 27602 31224 31332 36428 41403 48137 54642 55204 62664 72856 82806 96274 96607 109284 110408 144411 165612 192548 193214 218568 288822 289821 331224 336959 385096 386428 485273 577644 579642 673918 772856 970546 1010877 1155288 1159284 1347836 1455819 1941092 2021754 2318568 2695672 2911638 3396911 3882184 4043508 5823276 6793822 8087016 10190733 11646552 13587644 17955101 20381466 27175288 35910202 40762932 53865303 71820404 81525864 107730606 125685707 143640808 215461212 251371414 377057121 430922424 502742828 754114242 1005485656 1508228484 3016456968