Search a number
-
+
3043812772 = 22721113131829
BaseRepresentation
bin1011010101101100…
…1110010110100100
321212010110201011101
42311123032112210
522213204002042
61222011245444
7135266660500
oct26533162644
97763421141
103043812772
111322175650
1270b449884
133967b4660
1420c36d300
1512c34a6b7
hexb56ce5a4

3043812772 has 144 divisors (see below), whose sum is σ = 7344025920. Its totient is φ = 1085011200.

The previous prime is 3043812767. The next prime is 3043812791. The reversal of 3043812772 is 2772183403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3671254 + ... + 3672082.

It is an arithmetic number, because the mean of its divisors is an integer number (51000180).

Almost surely, 23043812772 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 3043812772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672012960).

3043812772 is an abundant number, since it is smaller than the sum of its proper divisors (4300213148).

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

3043812772 is a wasteful number, since it uses less digits than its factorization.

3043812772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 3043812772 is about 55170.7601180190. The cubic root of 3043812772 is about 1449.2366607621.

The spelling of 3043812772 in words is "three billion, forty-three million, eight hundred twelve thousand, seven hundred seventy-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 131 143 154 182 196 262 286 308 364 524 539 572 637 829 917 1001 1078 1274 1441 1658 1703 1834 2002 2156 2548 2882 3316 3406 3668 4004 5764 5803 6419 6812 7007 9119 10087 10777 11606 11921 12838 14014 18238 18733 20174 21554 23212 23842 25676 28028 36476 37466 40348 40621 43108 47684 63833 70609 74932 75439 81242 83447 108599 118547 127666 131131 141218 150878 162484 166894 217198 237094 255332 262262 282436 301756 333788 434396 446831 474188 524524 528073 760193 829829 893662 917917 1056146 1194589 1411787 1520386 1659658 1787324 1835834 2112292 2389178 2823574 3040772 3319316 3671668 4778356 5321351 5647148 5808803 8362123 9882509 10642702 11617606 15529657 16724246 19765018 21285404 23235212 31059314 33448492 39530036 58534861 62118628 69177563 108707599 117069722 138355126 217415198 234139444 276710252 434830396 760953193 1521906386 3043812772