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3055354164 = 2232432197233
BaseRepresentation
bin1011011000011101…
…0000000100110100
321212221012001222100
42312013100010310
522224132313124
61223102502100
7135500040042
oct26607200464
97787161870
103055354164
111328738895
12713294930
13398cc5995
1420dad5392
1512d37a1c9
hexb61d0134

3055354164 has 108 divisors (see below), whose sum is σ = 7981289316. Its totient is φ = 985469184.

The previous prime is 3055354163. The next prime is 3055354177. The reversal of 3055354164 is 4614535503.

3055354164 is a `hidden beast` number, since 3 + 0 + 5 + 53 + 541 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2015291664 + 1040062500 = 44892^2 + 32250^2 .

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 (3055354163) 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 35 ways as a sum of consecutive naturals, for example, 13112992 + ... + 13113224.

It is an arithmetic number, because the mean of its divisors is an integer number (73900827).

Almost surely, 23055354164 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 3055354164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3990644658).

3055354164 is an abundant number, since it is smaller than the sum of its proper divisors (4925935152).

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

3055354164 is a wasteful number, since it uses less digits than its factorization.

3055354164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 3055354164 is about 55275.2581540783. The cubic root of 3055354164 is about 1451.0660672242.

Adding to 3055354164 its reverse (4614535503), we get a palindrome (7669889667).

The spelling of 3055354164 in words is "three billion, fifty-five million, three hundred fifty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 197 233 258 387 394 466 516 591 699 774 788 932 1182 1398 1548 1773 1849 2097 2364 2796 3546 3698 4194 5547 7092 7396 8388 8471 10019 11094 16641 16942 20038 22188 25413 30057 33282 33884 40076 45901 50826 60114 66564 76239 90171 91802 101652 120228 137703 152478 180342 183604 275406 304956 360684 364253 413109 430817 550812 728506 826218 861634 1092759 1292451 1457012 1652436 1723268 1973743 2185518 2584902 3278277 3877353 3947486 4371036 5169804 5921229 6556554 7754706 7894972 11842458 13113108 15509412 17763687 23684916 35527374 71054748 84870949 169741898 254612847 339483796 509225694 763838541 1018451388 1527677082 3055354164