Search a number
-
+
3310331028 = 2232353972333
BaseRepresentation
bin1100010101001111…
…1010010010010100
322112200222020110220
43011103322102110
523234421043103
61304251514340
7145014230604
oct30523722224
98480866426
103310331028
111449660774
127847589b0
13409a8b774
14235908c04
15145943c53
hexc54fa494

3310331028 has 96 divisors (see below), whose sum is σ = 8300226816. Its totient is φ = 1024438272.

The previous prime is 3310330987. The next prime is 3310331029. The reversal of 3310331028 is 8201330133.

It is a junction number, because it is equal to n+sod(n) for n = 3310330989 and 3310331007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3310331029) 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, 1417750 + ... + 1420082.

It is an arithmetic number, because the mean of its divisors is an integer number (86460696).

Almost surely, 23310331028 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 3310331028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4150113408).

3310331028 is an abundant number, since it is smaller than the sum of its proper divisors (4989895788).

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

3310331028 is a wasteful number, since it uses less digits than its factorization.

3310331028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 3310331028 is about 57535.4762559588. The cubic root of 3310331028 is about 1490.3575599401.

The spelling of 3310331028 in words is "three billion, three hundred ten million, three hundred thirty-one thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 23 46 53 69 92 97 106 138 159 194 212 276 291 318 388 582 636 1164 1219 2231 2333 2438 3657 4462 4666 4876 5141 6693 6999 7314 8924 9332 10282 13386 13998 14628 15423 20564 26772 27996 30846 53659 61692 107318 118243 123649 160977 214636 226301 236486 247298 321954 354729 370947 452602 472972 494596 643908 678903 709458 741894 905204 1357806 1418916 1483788 2715612 2843927 5204923 5687854 8531781 10409846 11375708 11993953 15614769 17063562 20819692 23987906 31229538 34127124 35981859 47975812 62459076 71963718 143927436 275860919 551721838 827582757 1103443676 1655165514 3310331028