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3033146052 = 223217411091109
BaseRepresentation
bin1011010011001010…
…0010001011000100
321211101101210011200
42310302202023010
522202441133202
61220550502500
7135110213256
oct26462421304
97741353150
103033146052
11131714a582
12707964a30
1339451b4a1
1420ab93cd6
1512b43ee1c
hexb4ca22c4

3033146052 has 144 divisors (see below), whose sum is σ = 8399991600. Its totient is φ = 919019520.

The previous prime is 3033146041. The next prime is 3033146089. The reversal of 3033146052 is 2506413303.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 380484036 + 2652662016 = 19506^2 + 51504^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2734474 + ... + 2735582.

It is an arithmetic number, because the mean of its divisors is an integer number (58333275).

Almost surely, 23033146052 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 3033146052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4199995800).

3033146052 is an abundant number, since it is smaller than the sum of its proper divisors (5366845548).

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

3033146052 is a wasteful number, since it uses less digits than its factorization.

3033146052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3033146052 is about 55074.0052293276. The cubic root of 3033146052 is about 1447.5417804974.

Adding to 3033146052 its reverse (2506413303), we get a palindrome (5539559355).

The spelling of 3033146052 in words is "three billion, thirty-three million, one hundred forty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 41 51 68 82 102 109 123 153 164 204 218 246 306 327 369 436 492 612 654 697 738 981 1109 1308 1394 1476 1853 1962 2091 2218 2788 3327 3706 3924 4182 4436 4469 5559 6273 6654 7412 8364 8938 9981 11118 12546 13308 13407 16677 17876 18853 19962 22236 25092 26814 33354 37706 39924 40221 45469 53628 56559 66708 75412 75973 80442 90938 113118 120881 136407 151946 160884 169677 181876 226236 227919 241762 272814 303892 339354 362643 409221 455838 483524 545628 678708 683757 725286 772973 818442 911676 1087929 1367514 1450572 1545946 1636884 2054977 2175858 2318919 2735028 3091892 4109954 4351716 4637838 4956121 6164931 6956757 8219908 9275676 9912242 12329862 13913514 14868363 18494793 19824484 24659724 27827028 29736726 36989586 44605089 59473452 73979172 84254057 89210178 168508114 178420356 252762171 337016228 505524342 758286513 1011048684 1516573026 3033146052