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34032230340 = 223511328117863
BaseRepresentation
bin11111101100011110…
…101001111111000100
310020211202122102112120
4133230132221333010
51024144222332330
623344552445540
72313231120303
oct375436517704
9106752572476
1034032230340
11134843413a9
1267193a98b0
13329488ca04
14190bb8c43a
15d42b18c10
hex7ec7a9fc4

34032230340 has 96 divisors (see below), whose sum is σ = 96481034496. Its totient is φ = 8962437120.

The previous prime is 34032230339. The next prime is 34032230363. The reversal of 34032230340 is 4303223043.

It is a self number, because there is not a number n which added to its sum of digits gives 34032230340.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1896249 + ... + 1914111.

It is an arithmetic number, because the mean of its divisors is an integer number (1005010776).

Almost surely, 234032230340 is an apocalyptic number.

34032230340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34032230340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48240517248).

34032230340 is an abundant number, since it is smaller than the sum of its proper divisors (62448804156).

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

34032230340 is a wasteful number, since it uses less digits than its factorization.

34032230340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18269 (or 18267 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 34032230340 its reverse (4303223043), we get a palindrome (38335453383).

The spelling of 34032230340 in words is "thirty-four billion, thirty-two million, two hundred thirty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 281 339 452 562 565 678 843 1124 1130 1356 1405 1686 1695 2260 2810 3372 3390 4215 5620 6780 8430 16860 17863 31753 35726 53589 63506 71452 89315 95259 107178 127012 158765 178630 190518 214356 267945 317530 357260 381036 476295 535890 635060 952590 1071780 1905180 2018519 4037038 5019503 6055557 8074076 10039006 10092595 12111114 15058509 20078012 20185190 24222228 25097515 30117018 30277785 40370380 50195030 60234036 60555570 75292545 100390060 121111140 150585090 301170180 567203839 1134407678 1701611517 2268815356 2836019195 3403223034 5672038390 6806446068 8508057585 11344076780 17016115170 34032230340