Search a number
-
+
3075722112 = 27347193883
BaseRepresentation
bin1011011101010011…
…1100101110000000
321221100111212112210
42313110330232000
522244341101422
61225111222120
7136135130601
oct26724745600
97840455483
103075722112
11133918a601
1271a077940
133a02a7718
142126b7da8
1513005010c
hexb753cb80

3075722112 has 128 divisors (see below), whose sum is σ = 8396444160. Its totient is φ = 997097472.

The previous prime is 3075722099. The next prime is 3075722137. The reversal of 3075722112 is 2112275703.

3075722112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 3075722112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3482823 + ... + 3483705.

It is an arithmetic number, because the mean of its divisors is an integer number (65597220).

Almost surely, 23075722112 is an apocalyptic number.

3075722112 is a gapful number since it is divisible by the number (32) 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 3075722112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4198222080).

3075722112 is an abundant number, since it is smaller than the sum of its proper divisors (5320722048).

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

3075722112 is a wasteful number, since it uses less digits than its factorization.

3075722112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 3075722112 is about 55459.1932144708. The cubic root of 3075722112 is about 1454.2833489690.

Adding to 3075722112 its reverse (2112275703), we get a palindrome (5187997815).

The spelling of 3075722112 in words is "three billion, seventy-five million, seven hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 193 282 376 384 386 564 579 752 772 883 1128 1158 1504 1544 1766 2256 2316 2649 3008 3088 3532 4512 4632 5298 6016 6176 7064 9024 9071 9264 10596 12352 14128 18048 18142 18528 21192 24704 27213 28256 36284 37056 41501 42384 54426 56512 72568 74112 83002 84768 108852 113024 124503 145136 166004 169536 170419 217704 249006 290272 332008 339072 340838 435408 498012 511257 580544 664016 681676 870816 996024 1022514 1161088 1328032 1363352 1741632 1992048 2045028 2656064 2726704 3483264 3984096 4090056 5312128 5453408 7968192 8009693 8180112 10906816 15936384 16019386 16360224 21813632 24029079 32038772 32720448 48058158 64077544 65440896 96116316 128155088 192232632 256310176 384465264 512620352 768930528 1025240704 1537861056 3075722112