Search a number
-
+
34313223210 = 23572318713797
BaseRepresentation
bin11111111101001110…
…100011110000101010
310021120100101100021220
4133331032203300222
51030233141120320
623432511242510
72323212404430
oct377516436052
9107510340256
1034313223210
1113608a13512
126797519436
13330ab64296
141937214d50
15d5c620e40
hex7fd3a3c2a

34313223210 has 128 divisors (see below), whose sum is σ = 98286649344. Its totient is φ = 7496037120.

The previous prime is 34313223209. The next prime is 34313223253. The reversal of 34313223210 is 1232231343.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9035032 + ... + 9038828.

It is an arithmetic number, because the mean of its divisors is an integer number (767864448).

Almost surely, 234313223210 is an apocalyptic number.

34313223210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34313223210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49143324672).

34313223210 is an abundant number, since it is smaller than the sum of its proper divisors (63973426134).

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

34313223210 is a wasteful number, since it uses less digits than its factorization.

34313223210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5708.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 34313223210 its reverse (1232231343), we get a palindrome (35545454553).

The spelling of 34313223210 in words is "thirty-four billion, three hundred thirteen million, two hundred twenty-three thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 105 115 138 161 210 230 322 345 483 690 805 966 1610 1871 2415 3742 3797 4830 5613 7594 9355 11226 11391 13097 18710 18985 22782 26194 26579 28065 37970 39291 43033 53158 56130 56955 65485 78582 79737 86066 87331 113910 129099 130970 132895 159474 174662 196455 215165 258198 261993 265790 301231 392910 398685 430330 436655 523986 602462 611317 645495 797370 873310 903693 1222634 1290990 1309965 1506155 1807386 1833951 2619930 3012310 3056585 3667902 4518465 6113170 7104187 9036930 9169755 14208374 18339510 21312561 35520935 42625122 49729309 71041870 99458618 106562805 149187927 163396301 213125610 248646545 298375854 326792602 490188903 497293090 745939635 816981505 980377806 1143774107 1491879270 1633963010 2287548214 2450944515 3431322321 4901889030 5718870535 6862644642 11437741070 17156611605 34313223210