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34248823356 = 223111767227797
BaseRepresentation
bin11111111001011000…
…111001001000111100
310021101212012111022010
4133321120321020330
51030120144321411
623422251051220
72321501123646
oct377130711074
9107355174263
1034248823356
11135856279a0
126779a40b10
1332ca706767
14192c84d896
15d56b4e7a6
hex7f963923c

34248823356 has 96 divisors (see below), whose sum is σ = 93685116672. Its totient is φ = 9622103040.

The previous prime is 34248823333. The next prime is 34248823387. The reversal of 34248823356 is 65332884243.

It is a super-2 number, since 2×342488233562 (a number of 22 digits) contains 22 as substring.

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, 36450 + ... + 264246.

It is an arithmetic number, because the mean of its divisors is an integer number (975886632).

Almost surely, 234248823356 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 34248823356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46842558336).

34248823356 is an abundant number, since it is smaller than the sum of its proper divisors (59436293316).

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

34248823356 is a wasteful number, since it uses less digits than its factorization.

34248823356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227899 (or 227897 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 48.

The spelling of 34248823356 in words is "thirty-four billion, two hundred forty-eight million, eight hundred twenty-three thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 67 68 102 132 134 187 201 204 268 374 402 561 737 748 804 1122 1139 1474 2211 2244 2278 2948 3417 4422 4556 6834 8844 12529 13668 25058 37587 50116 75174 150348 227797 455594 683391 911188 1366782 2505767 2733564 3872549 5011534 7517301 7745098 10023068 11617647 15034602 15262399 15490196 23235294 30069204 30524798 42598039 45787197 46470588 61049596 85196078 91574394 127794117 167886389 170392156 183148788 255588234 259460783 335772778 503659167 511176468 518921566 671545556 778382349 1007318334 1037843132 1556764698 2014636668 2854068613 3113529396 5708137226 8562205839 11416274452 17124411678 34248823356