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34342331324 = 2274383401857
BaseRepresentation
bin11111111110111101…
…100110001110111100
310021122101011012010012
4133332331212032330
51030313114100244
623435431202352
72324014666640
oct377675461674
9107571135105
1034342331324
1113623394904
1267a52163b8
133313bb6312
14193b030c20
15d5ee7089e
hex7fef663bc

34342331324 has 96 divisors (see below), whose sum is σ = 71389334016. Its totient is φ = 14150707200.

The previous prime is 34342331293. The next prime is 34342331333. The reversal of 34342331324 is 42313324343.

It is a congruent number.

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, 40072304 + ... + 40073160.

It is an arithmetic number, because the mean of its divisors is an integer number (743638896).

Almost surely, 234342331324 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 34342331324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35694667008).

34342331324 is an abundant number, since it is smaller than the sum of its proper divisors (37047002692).

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

34342331324 is a wasteful number, since it uses less digits than its factorization.

34342331324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1393 counting only the distinct ones).

The product of its digits is 62208, while the sum is 32.

Adding to 34342331324 its reverse (42313324343), we get a palindrome (76655655667).

The spelling of 34342331324 in words is "thirty-four billion, three hundred forty-two million, three hundred thirty-one thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 43 83 86 166 172 301 332 401 581 602 802 857 1162 1204 1604 1714 2324 2807 3428 3569 5614 5999 7138 11228 11998 14276 17243 23996 24983 33283 34486 36851 49966 66566 68972 71131 73702 99932 120701 133132 142262 147404 232981 241402 257957 284524 343657 465962 482804 497917 515914 687314 931924 995834 1031828 1374628 1431169 1991668 2405599 2862338 3058633 4811198 5724676 6117266 9622396 10018183 12234532 14777251 20036366 21410431 28523531 29554502 40072732 42820862 57047062 59109004 85641724 103440757 114094124 199664717 206881514 399329434 413763028 798658868 1226511833 2453023666 4906047332 8585582831 17171165662 34342331324