Search a number
-
+
3422956768 = 257112947903
BaseRepresentation
bin1100110000000110…
…0010110011100000
322211112220012221121
43030001202303200
524002234104033
61323353502024
7150552436540
oct31401426340
98745805847
103422956768
1114a71960a0
127b6411914
1342720300a
14246865320
1515078e62d
hexcc062ce0

3422956768 has 96 divisors (see below), whose sum is σ = 8691701760. Its totient is φ = 1287605760.

The previous prime is 3422956763. The next prime is 3422956813. The reversal of 3422956768 is 8676592243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3422956763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47505 + ... + 95407.

It is an arithmetic number, because the mean of its divisors is an integer number (90538560).

Almost surely, 23422956768 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 3422956768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4345850880).

3422956768 is an abundant number, since it is smaller than the sum of its proper divisors (5268744992).

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

3422956768 is a wasteful number, since it uses less digits than its factorization.

3422956768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47960 (or 47952 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 52.

The square root of 3422956768 is about 58506.0404402827. The cubic root of 3422956768 is about 1507.0713182916.

The spelling of 3422956768 in words is "three billion, four hundred twenty-two million, nine hundred fifty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 32 44 56 58 77 88 112 116 154 176 203 224 232 308 319 352 406 464 616 638 812 928 1232 1276 1624 2233 2464 2552 3248 4466 5104 6496 8932 10208 17864 35728 47903 71456 95806 191612 335321 383224 526933 670642 766448 1053866 1341284 1389187 1532896 2107732 2682568 2778374 3688531 4215464 5365136 5556748 7377062 8430928 9724309 10730272 11113496 14754124 15281057 16861856 19448618 22226992 29508248 30562114 38897236 44453984 59016496 61124228 77794472 106967399 118032992 122248456 155588944 213934798 244496912 311177888 427869596 488993824 855739192 1711478384 3422956768