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3316327968 = 25341899467
BaseRepresentation
bin1100010110101011…
…0010011000100000
322120010020220201210
43011222302120200
523242434443333
61305024230120
7145116215442
oct30552623040
98503226653
103316327968
111451a87318
1278676b340
1340b0ab255
1423662a492
1514622aa63
hexc5ab2620

3316327968 has 96 divisors (see below), whose sum is σ = 9018838080. Its totient is φ = 1066250240.

The previous prime is 3316327957. The next prime is 3316327969. The reversal of 3316327968 is 8697236133.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3316327969) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 345571 + ... + 355037.

It is an arithmetic number, because the mean of its divisors is an integer number (93946230).

Almost surely, 23316327968 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 3316327968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4509419040).

3316327968 is an abundant number, since it is smaller than the sum of its proper divisors (5702510112).

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

3316327968 is a wasteful number, since it uses less digits than its factorization.

3316327968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9610 (or 9602 counting only the distinct ones).

The product of its digits is 979776, while the sum is 48.

The square root of 3316327968 is about 57587.5678250089. The cubic root of 3316327968 is about 1491.2569859245.

The spelling of 3316327968 in words is "three billion, three hundred sixteen million, three hundred twenty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 89 96 123 164 178 246 267 328 356 492 534 656 712 984 1068 1312 1424 1968 2136 2848 3649 3936 4272 7298 8544 9467 10947 14596 18934 21894 28401 29192 37868 43788 56802 58384 75736 87576 113604 116768 151472 175152 227208 302944 350304 388147 454416 776294 842563 908832 1164441 1552588 1685126 2328882 2527689 3105176 3370252 4657764 5055378 6210352 6740504 9315528 10110756 12420704 13481008 18631056 20221512 26962016 34545083 37262112 40443024 69090166 80886048 103635249 138180332 207270498 276360664 414540996 552721328 829081992 1105442656 1658163984 3316327968