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661701744 = 243311178191
BaseRepresentation
bin100111011100001…
…100010001110000
31201010002221011000
4213130030101300
52323343423434
6145354322000
722253241414
oct4734142160
91633087130
10661701744
1130a571350
12165729300
13a71202c2
1463c48d44
153d159b99
hex2770c470

661701744 has 160 divisors (see below), whose sum is σ = 2194145280. Its totient is φ = 188697600.

The previous prime is 661701731. The next prime is 661701751. The reversal of 661701744 is 447107166.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 661701699 and 661701708.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 76689 + ... + 84879.

It is an arithmetic number, because the mean of its divisors is an integer number (13713408).

Almost surely, 2661701744 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 661701744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097072640).

661701744 is an abundant number, since it is smaller than the sum of its proper divisors (1532443536).

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

661701744 is a wasteful number, since it uses less digits than its factorization.

661701744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8236 (or 8224 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 661701744 is about 25723.5639832431. The cubic root of 661701744 is about 871.4064290864.

The spelling of 661701744 in words is "six hundred sixty-one million, seven hundred one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 33 34 36 44 48 51 54 66 68 72 88 99 102 108 132 136 144 153 176 187 198 204 216 264 272 297 306 374 396 408 432 459 528 561 594 612 748 792 816 918 1122 1188 1224 1496 1584 1683 1836 2244 2376 2448 2992 3366 3672 4488 4752 5049 6732 7344 8191 8976 10098 13464 16382 20196 24573 26928 32764 40392 49146 65528 73719 80784 90101 98292 131056 139247 147438 180202 196584 221157 270303 278494 294876 360404 393168 417741 442314 540606 556988 589752 720808 810909 835482 884628 1081212 1113976 1179504 1253223 1441616 1531717 1621818 1670964 1769256 2162424 2227952 2432727 2506446 3063434 3243636 3341928 3538512 3759669 4324848 4595151 4865454 5012892 6126868 6487272 6683856 7519338 9190302 9730908 10025784 12253736 12974544 13785453 15038676 18380604 19461816 20051568 24507472 27570906 30077352 36761208 38923632 41356359 55141812 60154704 73522416 82712718 110283624 165425436 220567248 330850872 661701744