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3097984968 = 233413228289
BaseRepresentation
bin1011100010100111…
…0111111111001000
321222220101221110000
42320221313333020
522321041004333
61231224323000
7136525303101
oct27051677710
97886357400
103097984968
11134a805a61
12725613460
133a4aa0b00
142156313a8
15131e9b713
hexb8a77fc8

3097984968 has 120 divisors (see below), whose sum is σ = 9396382050. Its totient is φ = 953192448.

The previous prime is 3097984949. The next prime is 3097984999. The reversal of 3097984968 is 8694897903.

It can be written as a sum of positive squares in 3 ways, for example, as 2360210724 + 737774244 = 48582^2 + 27162^2 .

It is a super-2 number, since 2×30979849682 = 19195021723907922048, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 95368 + ... + 123656.

Almost surely, 23097984968 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 3097984968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4698191025).

3097984968 is an abundant number, since it is smaller than the sum of its proper divisors (6298397082).

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

3097984968 is a wasteful number, since it uses less digits than its factorization.

3097984968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28333 (or 28307 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The square root of 3097984968 is about 55659.5451652275. The cubic root of 3097984968 is about 1457.7837407236.

The spelling of 3097984968 in words is "three billion, ninety-seven million, nine hundred eighty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 169 216 234 312 324 338 351 468 507 648 676 702 936 1014 1053 1352 1404 1521 2028 2106 2808 3042 4056 4212 4563 6084 8424 9126 12168 13689 18252 27378 28289 36504 54756 56578 84867 109512 113156 169734 226312 254601 339468 367757 509202 678936 735514 763803 1018404 1103271 1471028 1527606 2036808 2206542 2291409 2942056 3055212 3309813 4413084 4582818 4780841 6110424 6619626 8826168 9165636 9561682 9929439 13239252 14342523 18331272 19123364 19858878 26478504 28685046 29788317 38246728 39717756 43027569 57370092 59576634 79435512 86055138 114740184 119153268 129082707 172110276 238306536 258165414 344220552 387248121 516330828 774496242 1032661656 1548992484 3097984968