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3041133264 = 2432131795561
BaseRepresentation
bin1011010101000100…
…0000001011010000
321211221102120120100
42311101000023100
522212012231024
61221434012400
7135235130511
oct26521001320
97757376510
103041133264
111320705484
1270a577100
13396086b50
1420bc72a08
1512bebb7c9
hexb54402d0

3041133264 has 120 divisors (see below), whose sum is σ = 9704894472. Its totient is φ = 880680960.

The previous prime is 3041133257. The next prime is 3041133311. The reversal of 3041133264 is 4623311403.

It can be written as a sum of positive squares in 4 ways, for example, as 265950864 + 2775182400 = 16308^2 + 52680^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15957 + ... + 79604.

Almost surely, 23041133264 is an apocalyptic number.

3041133264 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3041133264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4852447236).

3041133264 is an abundant number, since it is smaller than the sum of its proper divisors (6663761208).

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

3041133264 is a wasteful number, since it uses less digits than its factorization.

3041133264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95605 (or 95596 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3041133264 is about 55146.4710022319. The cubic root of 3041133264 is about 1448.8112752819.

Adding to 3041133264 its reverse (4623311403), we get a palindrome (7664444667).

The spelling of 3041133264 in words is "three billion, forty-one million, one hundred thirty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 34 36 39 48 51 52 68 72 78 102 104 117 136 144 153 156 204 208 221 234 272 306 312 408 442 468 612 624 663 816 884 936 1224 1326 1768 1872 1989 2448 2652 3536 3978 5304 7956 10608 15912 31824 95561 191122 286683 382244 573366 764488 860049 1146732 1242293 1528976 1624537 1720098 2293464 2484586 3249074 3440196 3726879 4586928 4873611 4969172 6498148 6880392 7453758 9747222 9938344 11180637 12996296 13760784 14620833 14907516 19494444 19876688 21118981 22361274 25992592 29241666 29815032 38988888 42237962 44722548 58483332 59630064 63356943 77977776 84475924 89445096 116966664 126713886 168951848 178890192 190070829 233933328 253427772 337903696 380141658 506855544 760283316 1013711088 1520566632 3041133264