Search a number
-
+
34532011032 = 23323432296353
BaseRepresentation
bin100000001010010001…
…001010110000011000
310022010121001220202120
4200022101022300120
51031210143323112
623510324501240
72331510152001
oct401221126030
9108117056676
1034532011032
1113710468aa2
12683884a820
13334429902c
1419582c81a8
15d7193be8c
hex80a44ac18

34532011032 has 128 divisors (see below), whose sum is σ = 92595571200. Its totient is φ = 10705508352.

The previous prime is 34532010967. The next prime is 34532011037. The reversal of 34532011032 is 23011023543.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 34532010993 and 34532011011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34532011037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5432368 + ... + 5438720.

It is an arithmetic number, because the mean of its divisors is an integer number (723402900).

Almost surely, 234532011032 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 34532011032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46297785600).

34532011032 is an abundant number, since it is smaller than the sum of its proper divisors (58063560168).

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

34532011032 is a wasteful number, since it uses less digits than its factorization.

34532011032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6657 (or 6653 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 34532011032 its reverse (23011023543), we get a palindrome (57543034575).

The spelling of 34532011032 in words is "thirty-four billion, five hundred thirty-two million, eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 43 46 69 86 92 129 138 172 184 229 258 276 344 458 516 552 687 916 989 1032 1374 1832 1978 2748 2967 3956 5267 5496 5934 6353 7912 9847 10534 11868 12706 15801 19059 19694 21068 23736 25412 29541 31602 38118 39388 42136 50824 59082 63204 76236 78776 118164 126408 146119 152472 226481 236328 273179 292238 438357 452962 546358 584476 679443 819537 876714 905924 1092716 1168952 1358886 1454837 1639074 1753428 1811848 2185432 2717772 2909674 3278148 3506856 4364511 5435544 5819348 6283117 6556296 8729022 11638696 12566234 17458044 18849351 25132468 33461251 34916088 37698702 50264936 62557991 66922502 75397404 100383753 125115982 133845004 150794808 187673973 200767506 250231964 267690008 375347946 401535012 500463928 750695892 803070024 1438833793 1501391784 2877667586 4316501379 5755335172 8633002758 11510670344 17266005516 34532011032