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3012103296 = 273216131621
BaseRepresentation
bin1011001110001001…
…0000110010000000
321202220210200221100
42303202100302000
522132044301141
61214515454400
7134433312156
oct26342206200
97686720840
103012103296
111306287874
127008b7400
13390061557
142080773d6
151296850b6
hexb3890c80

3012103296 has 96 divisors (see below), whose sum is σ = 8678365020. Its totient is φ = 1002792960.

The previous prime is 3012103271. The next prime is 3012103309. The reversal of 3012103296 is 6923012103.

It can be written as a sum of positive squares in 2 ways, for example, as 2887557696 + 124545600 = 53736^2 + 11160^2 .

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

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1857366 + ... + 1858986.

Almost surely, 23012103296 is an apocalyptic number.

3012103296 is a gapful number since it is divisible by the number (36) 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 3012103296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4339182510).

3012103296 is an abundant number, since it is smaller than the sum of its proper divisors (5666261724).

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

3012103296 is a wasteful number, since it uses less digits than its factorization.

3012103296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3012103296 is about 54882.6320068562. The cubic root of 3012103296 is about 1444.1865204130.

Adding to 3012103296 its reverse (6923012103), we get a palindrome (9935115399).

The spelling of 3012103296 in words is "three billion, twelve million, one hundred three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1613 1621 3226 3242 4839 4863 6452 6484 9678 9726 12904 12968 14517 14589 19356 19452 25808 25936 29034 29178 38712 38904 51616 51872 58068 58356 77424 77808 103232 103744 116136 116712 154848 155616 206464 207488 232272 233424 309696 311232 464544 466848 619392 622464 929088 933696 1858176 1867392 2614673 5229346 7844019 10458692 15688038 20917384 23532057 31376076 41834768 47064114 62752152 83669536 94128228 125504304 167339072 188256456 251008608 334678144 376512912 502017216 753025824 1004034432 1506051648 3012103296