Search a number
-
+
3263003128 = 2371122631831
BaseRepresentation
bin1100001001111101…
…0111100111111000
322102101220201210201
43002133113213320
523140312100003
61255441251544
7143601032440
oct30237274770
98371821721
103263003128
111424975600
12770933bb4
1340002a6a8
1422d509120
151416e5b1d
hexc27d79f8

3263003128 has 96 divisors (see below), whose sum is σ = 7719022080. Its totient is φ = 1265774400.

The previous prime is 3263003041. The next prime is 3263003189. The reversal of 3263003128 is 8213003623.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 3263003096 and 3263003105.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1781173 + ... + 1783003.

It is an arithmetic number, because the mean of its divisors is an integer number (80406480).

Almost surely, 23263003128 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 3263003128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3859511040).

3263003128 is an abundant number, since it is smaller than the sum of its proper divisors (4456018952).

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

3263003128 is a wasteful number, since it uses less digits than its factorization.

3263003128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 3263003128 is about 57122.7023870545. The cubic root of 3263003128 is about 1483.2208780406.

The spelling of 3263003128 in words is "three billion, two hundred sixty-three million, three thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 121 154 242 263 308 484 526 616 847 968 1052 1694 1831 1841 2104 2893 3388 3662 3682 5786 6776 7324 7364 11572 12817 14648 14728 20141 20251 23144 25634 31823 40282 40502 51268 63646 80564 81004 102536 127292 140987 161128 162008 221551 222761 254584 281974 443102 445522 481553 563948 886204 891044 963106 1127896 1550857 1772408 1782088 1926212 3101714 3370871 3852424 5297083 6203428 6741742 10594166 12406856 13483484 21188332 26966968 37079581 42376664 58267913 74159162 116535826 148318324 233071652 296636648 407875391 466143304 815750782 1631501564 3263003128