Search a number
-
+
671304942 = 233711179497
BaseRepresentation
bin101000000000110…
…100110011101110
31201210011211021000
4220000310303232
52333323224232
6150340221130
722430666160
oct5000646356
91653154230
10671304942
11314a30380
1216899a7a6
13a9103379
1465228930
153de0527c
hex28034cee

671304942 has 128 divisors (see below), whose sum is σ = 1969505280. Its totient is φ = 164090880.

The previous prime is 671304937. The next prime is 671304947. The reversal of 671304942 is 249403176.

It is an interprime number because it is at equal distance from previous prime (671304937) and next prime (671304947).

It is a junction number, because it is equal to n+sod(n) for n = 671304897 and 671304906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (671304947) 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 63 ways as a sum of consecutive naturals, for example, 65938 + ... + 75434.

It is an arithmetic number, because the mean of its divisors is an integer number (15386760).

Almost surely, 2671304942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 671304942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984752640).

671304942 is an abundant number, since it is smaller than the sum of its proper divisors (1298200338).

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

671304942 is a wasteful number, since it uses less digits than its factorization.

671304942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9543 (or 9537 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 671304942 is about 25909.5531030545. The cubic root of 671304942 is about 875.6017377090.

The spelling of 671304942 in words is "six hundred seventy-one million, three hundred four thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 17 18 21 22 27 33 34 42 51 54 63 66 77 99 102 119 126 153 154 187 189 198 231 238 297 306 357 374 378 459 462 561 594 693 714 918 1071 1122 1309 1386 1683 2079 2142 2618 3213 3366 3927 4158 5049 6426 7854 9497 10098 11781 18994 23562 28491 35343 56982 66479 70686 85473 104467 132958 161449 170946 199437 208934 256419 313401 322898 398874 484347 512838 598311 626802 731269 940203 968694 1130143 1196622 1453041 1462538 1775939 1794933 1880406 2193807 2260286 2820609 2906082 3390429 3551878 3589866 4359123 4387614 5327817 5641218 6581421 6780858 8718246 10171287 10655634 12431573 13162842 15983451 19744263 20342574 24863146 30513861 31966902 37294719 39488526 47950353 61027722 74589438 95900706 111884157 223768314 335652471 671304942