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740644641 = 34115973193
BaseRepresentation
bin101100001001010…
…101011100100001
31220121122122110000
4230021111130201
53004101112031
6201254330213
724232242552
oct5411253441
91817578400
10740644641
11350090310
12188059969
13ba5a0489
1470518329
15450503e6
hex2c255721

740644641 has 80 divisors (see below), whose sum is σ = 1250694720. Its totient is φ = 432967680.

The previous prime is 740644633. The next prime is 740644669. The reversal of 740644641 is 146446047.

740644641 is a `hidden beast` number, since 7 + 4 + 0 + 6 + 4 + 4 + 641 = 666.

It is not a de Polignac number, because 740644641 - 23 = 740644633 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 740644596 and 740644605.

It is not an unprimeable number, because it can be changed into a prime (740644621) 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 79 ways as a sum of consecutive naturals, for example, 3837441 + ... + 3837633.

It is an arithmetic number, because the mean of its divisors is an integer number (15633684).

Almost surely, 2740644641 is an apocalyptic number.

It is an amenable number.

740644641 is a deficient number, since it is larger than the sum of its proper divisors (510050079).

740644641 is a wasteful number, since it uses less digits than its factorization.

740644641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 740644641 is about 27214.7871753574. The cubic root of 740644641 is about 904.7667422817.

The spelling of 740644641 in words is "seven hundred forty million, six hundred forty-four thousand, six hundred forty-one".

Divisors: 1 3 9 11 27 33 59 73 81 99 177 193 219 297 531 579 649 657 803 891 1593 1737 1947 1971 2123 2409 4307 4779 5211 5841 5913 6369 7227 11387 12921 14089 15633 17523 19107 21681 34161 38763 42267 47377 52569 57321 65043 102483 116289 125257 126801 142131 154979 171963 307449 348867 375771 380403 426393 464937 831251 922347 1127313 1141209 1279179 1394811 2493753 3381939 3837537 4184433 7481259 9143761 10145817 12553299 22443777 27431283 67331331 82293849 246881547 740644641