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3404121104 = 24416197877
BaseRepresentation
bin1100101011100110…
…1100010000010000
322210020110021021102
43022321230100100
523432423333404
61321442043532
7150233360216
oct31271542020
98706407242
103404121104
1114975a062a
127b00495a8
13423339857
14244160cb6
1514dcbd71e
hexcae6c410

3404121104 has 80 divisors (see below), whose sum is σ = 6945815856. Its totient is φ = 1614643200.

The previous prime is 3404121079. The next prime is 3404121107. The reversal of 3404121104 is 4011214043.

It can be written as a sum of positive squares in 8 ways, for example, as 568345600 + 2835775504 = 23840^2 + 53252^2 .

It is not an unprimeable number, because it can be changed into a prime (3404121107) 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, 3881114 + ... + 3881990.

Almost surely, 23404121104 is an apocalyptic number.

It is an amenable number.

3404121104 is an abundant number, since it is smaller than the sum of its proper divisors (3541694752).

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

3404121104 is a wasteful number, since it uses less digits than its factorization.

3404121104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 3404121104 is about 58344.8464219420. The cubic root of 3404121104 is about 1504.3018883398.

Adding to 3404121104 its reverse (4011214043), we get a palindrome (7415335147).

The spelling of 3404121104 in words is "three billion, four hundred four million, one hundred twenty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 41 61 82 97 122 164 194 244 328 388 488 656 776 877 976 1552 1754 2501 3508 3977 5002 5917 7016 7954 10004 11834 14032 15908 20008 23668 31816 35957 40016 47336 53497 63632 71914 85069 94672 106994 143828 170138 213988 242597 287656 340276 427976 485194 575312 680552 855952 970388 1361104 1940776 2193377 3487829 3881552 4386754 5189209 6975658 8773508 10378418 13951316 17547016 20756836 27902632 35094032 41513672 55805264 83027344 212757569 425515138 851030276 1702060552 3404121104