Search a number
-
+
329701086 = 2321113259167
BaseRepresentation
bin10011101001101…
…101011011011110
3211222101112212100
4103221231123132
51133400413321
652414345530
711112261441
oct2351553336
9758345770
10329701086
1115a120340
12924bb2a6
13533c9a00
1431b05658
151de29326
hex13a6d6de

329701086 has 144 divisors (see below), whose sum is σ = 863291520. Its totient is φ = 90118080.

The previous prime is 329701079. The next prime is 329701109. The reversal of 329701086 is 680107923.

It is a super-2 number, since 2×3297010862 = 217405612219158792, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 329701086.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1974175 + ... + 1974341.

It is an arithmetic number, because the mean of its divisors is an integer number (5995080).

Almost surely, 2329701086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329701086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431645760).

329701086 is an abundant number, since it is smaller than the sum of its proper divisors (533590434).

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

329701086 is a wasteful number, since it uses less digits than its factorization.

329701086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 329701086 is about 18157.6729235880. The cubic root of 329701086 is about 690.8336112593.

The spelling of 329701086 in words is "three hundred twenty-nine million, seven hundred one thousand, eighty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 59 66 78 99 117 118 143 167 169 177 198 234 286 334 338 354 429 501 507 531 649 767 858 1002 1014 1062 1287 1298 1503 1521 1534 1837 1859 1947 2171 2301 2574 3006 3042 3674 3718 3894 4342 4602 5511 5577 5841 6513 6903 8437 9853 9971 11022 11154 11682 13026 13806 16533 16731 16874 19539 19706 19942 23881 25311 28223 29559 29913 33066 33462 39078 47762 50622 56446 59118 59826 71643 75933 84669 88677 89739 108383 109681 128089 143286 151866 169338 177354 179478 214929 216766 219362 254007 256178 310453 325149 329043 384267 429858 508014 620906 650298 658086 768534 931359 975447 987129 1152801 1408979 1665157 1862718 1950894 1974258 2305602 2794077 2817958 3330314 4226937 4995471 5588154 8453874 9990942 12680811 14986413 18316727 25361622 29972826 36633454 54950181 109900362 164850543 329701086