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34948818348 = 223171910387541
BaseRepresentation
bin100000100011000111…
…001010010110101100
310100012122100220220120
4200203013022112230
51033033344141343
624015534244540
72345031024453
oct404307122654
9110178326816
1034948818348
1113904773554
126934356750
1333ac743792
1419977c5b9a
15d98320683
hex8231ca5ac

34948818348 has 96 divisors (see below), whose sum is σ = 91772029440. Its totient is φ = 10286300160.

The previous prime is 34948818337. The next prime is 34948818379. The reversal of 34948818348 is 84381884943.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34948818291 and 34948818300.

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, 355458 + ... + 442998.

It is an arithmetic number, because the mean of its divisors is an integer number (955958640).

Almost surely, 234948818348 is an apocalyptic number.

34948818348 is a gapful number since it is divisible by the number (38) 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 34948818348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45886014720).

34948818348 is an abundant number, since it is smaller than the sum of its proper divisors (56823211092).

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

34948818348 is a wasteful number, since it uses less digits than its factorization.

34948818348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87687 (or 87685 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 60.

The spelling of 34948818348 in words is "thirty-four billion, nine hundred forty-eight million, eight hundred eighteen thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 103 114 204 206 228 309 323 412 618 646 969 1236 1292 1751 1938 1957 3502 3876 3914 5253 5871 7004 7828 10506 11742 21012 23484 33269 66538 87541 99807 133076 175082 199614 262623 350164 399228 525246 1050492 1488197 1663279 2976394 3326558 4464591 4989837 5952788 6653116 8929182 9016723 9979674 17858364 18033446 19959348 27050169 28275743 36066892 54100338 56551486 84827229 108200676 113102972 153284291 169654458 171317737 306568582 339308916 342635474 459852873 513953211 613137164 685270948 919705746 1027906422 1839411492 2055812844 2912401529 5824803058 8737204587 11649606116 17474409174 34948818348