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3065051444 = 22713101263317
BaseRepresentation
bin1011011010110000…
…1111100100110100
321220121102202010212
42312230033210310
522234123121234
61224050404552
7135645336020
oct26654174464
97817382125
103065051444
111333161574
12716590758
1339b00c810
142110db380
1512e1435ce
hexb6b0f934

3065051444 has 96 divisors (see below), whose sum is σ = 6713473536. Its totient is φ = 1192204800.

The previous prime is 3065051417. The next prime is 3065051447. The reversal of 3065051444 is 4441505603.

It is a self number, because there is not a number n which added to its sum of digits gives 3065051444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3065051447) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9668774 + ... + 9669090.

It is an arithmetic number, because the mean of its divisors is an integer number (69932016).

Almost surely, 23065051444 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 3065051444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3356736768).

3065051444 is an abundant number, since it is smaller than the sum of its proper divisors (3648422092).

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

3065051444 is a wasteful number, since it uses less digits than its factorization.

3065051444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 3065051444 is about 55362.9067517232. The cubic root of 3065051444 is about 1452.5996082904.

The spelling of 3065051444 in words is "three billion, sixty-five million, fifty-one thousand, four hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 101 182 202 263 317 364 404 526 634 707 1052 1268 1313 1414 1841 2219 2626 2828 3419 3682 4121 4438 5252 6838 7364 8242 8876 9191 13676 16484 18382 23933 26563 28847 32017 36764 47866 53126 57694 64034 83371 95732 106252 115388 128068 166742 185941 224119 333484 345319 371882 416221 448238 583597 690638 743764 832442 896476 1083823 1167194 1381276 1664884 2167646 2334388 2417233 2913547 4335292 4834466 5827094 7586761 8420471 9668932 11654188 15173522 16840942 30347044 33681884 58943297 109466123 117886594 218932246 235773188 437864492 766262861 1532525722 3065051444