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3054422304 = 253314332467
BaseRepresentation
bin1011011000001110…
…1100100100100000
321212212102201201000
42312003230210200
522223413003204
61223030512000
7135456106203
oct26603544440
97785381630
103054422304
11132816175a
12712b05600
13398a5a79b
1420d93193a
1512d244039
hexb60ec920

3054422304 has 96 divisors (see below), whose sum is σ = 8918562240. Its totient is φ = 1017017856.

The previous prime is 3054422297. The next prime is 3054422309. The reversal of 3054422304 is 4032244503.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×30544223042 = 18658991222345336832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3054422309) 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 15 ways as a sum of consecutive naturals, for example, 1236879 + ... + 1239345.

It is an arithmetic number, because the mean of its divisors is an integer number (92901690).

Almost surely, 23054422304 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 3054422304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4459281120).

3054422304 is an abundant number, since it is smaller than the sum of its proper divisors (5864139936).

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

3054422304 is a wasteful number, since it uses less digits than its factorization.

3054422304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3919 (or 3905 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 3054422304 is about 55266.8282426267. The cubic root of 3054422304 is about 1450.9185308181.

Adding to 3054422304 its reverse (4032244503), we get a palindrome (7086666807).

It can be divided in two parts, 305 and 4422304, that added together give a square (4422609 = 21032).

The spelling of 3054422304 in words is "three billion, fifty-four million, four hundred twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1433 2467 2866 4299 4934 5732 7401 8598 9868 11464 12897 14802 17196 19736 22203 22928 25794 29604 34392 38691 39472 44406 45856 51588 59208 66609 68784 77382 78944 88812 103176 118416 133218 137568 154764 177624 206352 236832 266436 309528 355248 412704 532872 619056 710496 1065744 1238112 2131488 3535211 7070422 10605633 14140844 21211266 28281688 31816899 42422532 56563376 63633798 84845064 95450697 113126752 127267596 169690128 190901394 254535192 339380256 381802788 509070384 763605576 1018140768 1527211152 3054422304