Search a number
-
+
3041033976 = 2333611491549
BaseRepresentation
bin1011010101000010…
…0111111011111000
321211221020112101000
42311100213323320
522212001041401
61221431525000
7135234235161
oct26520477370
97757215330
103041033976
111320647922
1270a529760
133960508b6
1420bc48768
1512be9c186
hexb5427ef8

3041033976 has 128 divisors (see below), whose sum is σ = 8649000000. Its totient is φ = 989729280.

The previous prime is 3041033953. The next prime is 3041033977. The reversal of 3041033976 is 6793301403.

3041033976 is a `hidden beast` number, since 304 + 10 + 339 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3041033976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3041033977) 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, 1962450 + ... + 1963998.

Almost surely, 23041033976 is an apocalyptic number.

3041033976 is a gapful number since it is divisible by the number (36) 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 3041033976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4324500000).

3041033976 is an abundant number, since it is smaller than the sum of its proper divisors (5607966024).

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

3041033976 is a wasteful number, since it uses less digits than its factorization.

3041033976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 3041033976 is about 55145.5707740885. The cubic root of 3041033976 is about 1448.7955080085.

The spelling of 3041033976 in words is "three billion, forty-one million, thirty-three thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 108 122 149 183 216 244 298 366 447 488 549 596 732 894 1098 1192 1341 1464 1549 1647 1788 2196 2682 3098 3294 3576 4023 4392 4647 5364 6196 6588 8046 9089 9294 10728 12392 13176 13941 16092 18178 18588 27267 27882 32184 36356 37176 41823 54534 55764 72712 81801 83646 94489 109068 111528 163602 167292 188978 218136 230801 245403 283467 327204 334584 377956 461602 490806 566934 654408 692403 755912 850401 923204 981612 1133868 1384806 1700802 1846408 1963224 2077209 2267736 2551203 2769612 3401604 4154418 5102406 5539224 6231627 6803208 8308836 10204812 12463254 14078861 16617672 20409624 24926508 28157722 42236583 49853016 56315444 84473166 112630888 126709749 168946332 253419498 337892664 380129247 506838996 760258494 1013677992 1520516988 3041033976