Search a number
-
+
34207593870 = 23523312835651
BaseRepresentation
bin11111110110111011…
…100111010110001110
310021021222121211002010
4133312323213112032
51030024121000440
623414215242050
72320460515242
oct376673472616
9107258554063
1034207593870
111356432763a
126768079326
1332c1ccc408
14192719a422
15d53208580
hex7f6ee758e

34207593870 has 128 divisors (see below), whose sum is σ = 88759369728. Its totient is φ = 8412624000.

The previous prime is 34207593869. The next prime is 34207593929. The reversal of 34207593870 is 7839570243.

It is a Curzon number.

It is a congruent number.

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, 6050545 + ... + 6056195.

It is an arithmetic number, because the mean of its divisors is an integer number (693432576).

Almost surely, 234207593870 is an apocalyptic number.

34207593870 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 34207593870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44379684864).

34207593870 is an abundant number, since it is smaller than the sum of its proper divisors (54551775858).

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

34207593870 is a wasteful number, since it uses less digits than its factorization.

34207593870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5998.

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 34207593870 in words is "thirty-four billion, two hundred seven million, five hundred ninety-three thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 10 15 23 30 31 46 62 69 93 115 138 155 186 230 283 310 345 465 566 690 713 849 930 1415 1426 1698 2139 2830 3565 4245 4278 5651 6509 7130 8490 8773 10695 11302 13018 16953 17546 19527 21390 26319 28255 32545 33906 39054 43865 52638 56510 65090 84765 87730 97635 129973 131595 169530 175181 195270 201779 259946 263190 350362 389919 403558 525543 605337 649865 779838 875905 1008895 1051086 1210674 1299730 1599233 1751810 1949595 2017790 2627715 3026685 3198466 3899190 4029163 4797699 5255430 6053370 7996165 8058326 9595398 12087489 15992330 20145815 23988495 24174978 36782359 40291630 47976990 49576223 60437445 73564718 99152446 110347077 120874890 148728669 183911795 220694154 247881115 297457338 367823590 495762230 551735385 743643345 1103470770 1140253129 1487286690 2280506258 3420759387 5701265645 6841518774 11402531290 17103796935 34207593870