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3075146116 = 22721722332
BaseRepresentation
bin1011011101001011…
…0000000110000100
321221022102121102121
42313102300012010
522244214133431
61225051015324
7136130211400
oct26722600604
97838377377
103075146116
111338926879
12719a3a544
133a01354b3
142125a8100
1512ee89611
hexb74b0184

3075146116 has 81 divisors (see below), whose sum is σ = 6678685839. Its totient is φ = 1235071488.

The previous prime is 3075146071. The next prime is 3075146119. The reversal of 3075146116 is 6116415703.

The square root of 3075146116 is 55454.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1552516 + 3073593600 = 1246^2 + 55440^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (3075146119) 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 26 ways as a sum of consecutive naturals, for example, 13197936 + ... + 13198168.

Almost surely, 23075146116 is an apocalyptic number.

3075146116 is the 55454-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3075146116

3075146116 is an abundant number, since it is smaller than the sum of its proper divisors (3603539723).

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

3075146116 is a wasteful number, since it uses less digits than its factorization.

3075146116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The cubic root of 3075146116 is about 1454.1925612172.

It can be divided in two parts, 30751 and 46116, that added together give a palindrome (76867).

The spelling of 3075146116 in words is "three billion, seventy-five million, one hundred forty-six thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 233 238 289 466 476 578 833 932 1156 1631 1666 2023 3262 3332 3961 4046 6524 7922 8092 11417 14161 15844 22834 27727 28322 45668 54289 55454 56644 67337 108578 110908 134674 194089 217156 269348 380023 388178 471359 760046 776356 922913 942718 1520092 1845826 1885436 2660161 3299513 3691652 5320322 6460391 6599026 10640644 12920782 13198052 15689521 25841564 31379042 45222737 62758084 90445474 109826647 180890948 219653294 439306588 768786529 1537573058 3075146116