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3348571668 = 22313175921401
BaseRepresentation
bin1100011110010111…
…0010011000010100
322122100221001202220
43013211302120110
523324213243133
61312135302340
7145660250421
oct30745623024
98570831686
103348571668
1114691aa502
1279551a9b0
1341498a570
1423aa20d48
15148e995b3
hexc7972614

3348571668 has 96 divisors (see below), whose sum is σ = 9060750720. Its totient is φ = 953241600.

The previous prime is 3348571661. The next prime is 3348571687. The reversal of 3348571668 is 8661758433.

It is a super-2 number, since 2×33485716682 = 22425864431464604448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 3348571668.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3348571661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145768 + ... + 167168.

It is an arithmetic number, because the mean of its divisors is an integer number (94382820).

Almost surely, 23348571668 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 3348571668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4530375360).

3348571668 is an abundant number, since it is smaller than the sum of its proper divisors (5712179052).

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

3348571668 is a wasteful number, since it uses less digits than its factorization.

3348571668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21497 (or 21495 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The square root of 3348571668 is about 57866.8442892819. The cubic root of 3348571668 is about 1496.0744271025.

The spelling of 3348571668 in words is "three billion, three hundred forty-eight million, five hundred seventy-one thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 59 68 78 102 118 156 177 204 221 236 354 442 663 708 767 884 1003 1326 1534 2006 2301 2652 3009 3068 4012 4602 6018 9204 12036 13039 21401 26078 39117 42802 52156 64203 78234 85604 128406 156468 256812 278213 363817 556426 727634 834639 1091451 1112852 1262659 1455268 1669278 2182902 2525318 3338556 3787977 4365804 4729621 5050636 7575954 9459242 14188863 15151908 16414567 18918484 21465203 28377726 32829134 42930406 49243701 56755452 64395609 65658268 85860812 98487402 128791218 196974804 257582436 279047639 558095278 837142917 1116190556 1674285834 3348571668