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3052345104 = 2432174492777
BaseRepresentation
bin1011010111101111…
…0001011100010000
321212201112012022200
42311323301130100
522222400020404
61222514203200
7135432335214
oct26573613420
97781465280
103052345104
111326a73066
12712283500
133984b1183
1420d550944
1512ce83839
hexb5ef1710

3052345104 has 120 divisors (see below), whose sum is σ = 9068225400. Its totient is φ = 955121664.

The previous prime is 3052345073. The next prime is 3052345141. The reversal of 3052345104 is 4015432503.

3052345104 is a `hidden beast` number, since 30 + 523 + 4 + 5 + 104 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 476985600 + 2575359504 = 21840^2 + 50748^2 .

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 23 ways as a sum of consecutive naturals, for example, 1097764 + ... + 1100540.

It is an arithmetic number, because the mean of its divisors is an integer number (75568545).

Almost surely, 23052345104 is an apocalyptic number.

3052345104 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 3052345104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4534112700).

3052345104 is an abundant number, since it is smaller than the sum of its proper divisors (6015880296).

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

3052345104 is a wasteful number, since it uses less digits than its factorization.

3052345104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3257 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 3052345104 is about 55248.0325803553. The cubic root of 3052345104 is about 1450.5895508307.

Adding to 3052345104 its reverse (4015432503), we get a palindrome (7067777607).

The spelling of 3052345104 in words is "three billion, fifty-two million, three hundred forty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 449 612 816 898 1224 1347 1796 2448 2694 2777 3592 4041 5388 5554 7184 7633 8082 8331 10776 11108 15266 16164 16662 21552 22216 22899 24993 30532 32328 33324 44432 45798 47209 49986 61064 64656 66648 68697 91596 94418 99972 122128 133296 137394 141627 183192 188836 199944 274788 283254 366384 377672 399888 424881 549576 566508 755344 849762 1099152 1133016 1246873 1699524 2266032 2493746 3399048 3740619 4987492 6798096 7481238 9974984 11221857 14962476 19949968 21196841 22443714 29924952 42393682 44887428 59849904 63590523 84787364 89774856 127181046 169574728 179549712 190771569 254362092 339149456 381543138 508724184 763086276 1017448368 1526172552 3052345104