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3057134616 = 2333174191987
BaseRepresentation
bin1011011000111000…
…0010110000011000
321220001112112022000
42312032002300120
522230111301431
61223205001000
7135521133624
oct26616026030
97801475260
103057134616
111329744538
127139b3160
1339949a1c3
1421003a184
1512d5cc9e6
hexb6382c18

3057134616 has 128 divisors (see below), whose sum is σ = 9017568000. Its totient is φ = 956330496.

The previous prime is 3057134611. The next prime is 3057134623. The reversal of 3057134616 is 6164317503.

3057134616 is a `hidden beast` number, since 3 + 0 + 5 + 7 + 1 + 34 + 616 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3057134611) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1537575 + ... + 1539561.

It is an arithmetic number, because the mean of its divisors is an integer number (70449750).

Almost surely, 23057134616 is an apocalyptic number.

3057134616 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 3057134616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4508784000).

3057134616 is an abundant number, since it is smaller than the sum of its proper divisors (5960433384).

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

3057134616 is a wasteful number, since it uses less digits than its factorization.

3057134616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3057134616 is about 55291.3611335442. The cubic root of 3057134616 is about 1451.3478732675.

The spelling of 3057134616 in words is "three billion, fifty-seven million, one hundred thirty-four thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 419 459 612 838 918 1224 1257 1676 1836 1987 2514 3352 3672 3771 3974 5028 5961 7123 7542 7948 10056 11313 11922 14246 15084 15896 17883 21369 22626 23844 28492 30168 33779 35766 42738 45252 47688 53649 56984 64107 67558 71532 85476 90504 101337 107298 128214 135116 143064 170952 192321 202674 214596 256428 270232 304011 384642 405348 429192 512856 608022 769284 810696 832553 912033 1216044 1538568 1665106 1824066 2432088 2497659 3330212 3648132 4995318 6660424 7296264 7492977 9990636 14153401 14985954 19981272 22478931 28306802 29971908 42460203 44957862 56613604 59943816 84920406 89915724 113227208 127380609 169840812 179831448 254761218 339681624 382141827 509522436 764283654 1019044872 1528567308 3057134616