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3105240704 = 27103317743
BaseRepresentation
bin1011100100010110…
…0011011010000000
322000102001120102222
42321011203122000
522324420200304
61232044030212
7136644052616
oct27105433200
98012046388
103105240704
111353911335
12727b32368
133a6441547
1421659d6b6
151329314be
hexb9163680

3105240704 has 64 divisors (see below), whose sum is σ = 6274419840. Its totient is φ = 1530633216.

The previous prime is 3105240703. The next prime is 3105240707. The reversal of 3105240704 is 4070425013.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (3105240701) 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 7 ways as a sum of consecutive naturals, for example, 4178957 + ... + 4179699.

It is an arithmetic number, because the mean of its divisors is an integer number (98037810).

Almost surely, 23105240704 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 3105240704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3137209920).

3105240704 is an abundant number, since it is smaller than the sum of its proper divisors (3169179136).

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

3105240704 is a wasteful number, since it uses less digits than its factorization.

3105240704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 3105240704 is about 55724.6866657857. The cubic root of 3105240704 is about 1458.9209365862.

Adding to 3105240704 its reverse (4070425013), we get a palindrome (7175665717).

The spelling of 3105240704 in words is "three billion, one hundred five million, two hundred forty thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 64 103 128 206 317 412 634 743 824 1268 1486 1648 2536 2972 3296 5072 5944 6592 10144 11888 13184 20288 23776 32651 40576 47552 65302 76529 95104 130604 153058 235531 261208 306116 471062 522416 612232 942124 1044832 1224464 1884248 2089664 2448928 3768496 4179328 4897856 7536992 9795712 15073984 24259693 30147968 48519386 97038772 194077544 388155088 776310176 1552620352 3105240704