Search a number
-
+
34064532342 = 2343113948799
BaseRepresentation
bin11111101110011001…
…111000001101110110
310020221000102112120000
4133232121320031312
51024231010013332
623352105052130
72314102514241
oct375631701566
9106830375500
1034064532342
11134a05a4375
126728187046
13329b48c719
14191219a258
15d45899b7c
hex7ee678376

34064532342 has 80 divisors (see below), whose sum is σ = 79360512000. Its totient is φ = 10909280880.

The previous prime is 34064532259. The next prime is 34064532349. The reversal of 34064532342 is 24323546043.

34064532342 is a `hidden beast` number, since 3 + 4 + 0 + 645 + 3 + 2 + 3 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34064532297 and 34064532306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34064532349) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 673659 + ... + 722457.

It is an arithmetic number, because the mean of its divisors is an integer number (992006400).

Almost surely, 234064532342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34064532342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39680256000).

34064532342 is an abundant number, since it is smaller than the sum of its proper divisors (45295979658).

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

34064532342 is a wasteful number, since it uses less digits than its factorization.

34064532342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48983 (or 48974 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

The spelling of 34064532342 in words is "thirty-four billion, sixty-four million, five hundred thirty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 139 162 186 278 279 417 558 834 837 1251 1674 2502 2511 3753 4309 5022 7506 8618 11259 12927 22518 25854 38781 48799 77562 97598 116343 146397 232686 292794 349029 439191 698058 878382 1317573 1512769 2635146 3025538 3952719 4538307 6783061 7905438 9076614 13566122 13614921 20349183 27229842 40698366 40844763 61047549 81689526 122095098 122534289 183142647 210274891 245068578 366285294 420549782 549427941 630824673 1098855882 1261649346 1892474019 3784948038 5677422057 11354844114 17032266171 34064532342