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34312342344 = 23372692772741
BaseRepresentation
bin11111111101001011…
…001100101101001000
310021120021201120222020
4133331023030231020
51030232424423334
623432440324440
72323202045340
oct377513145510
9107507646866
1034312342344
1113608471725
126797173720
13330a916367
141937065d20
15d5c4e9e49
hex7fd2ccb48

34312342344 has 128 divisors (see below), whose sum is σ = 98790969600. Its totient is φ = 9728271360.

The previous prime is 34312342327. The next prime is 34312342367. The reversal of 34312342344 is 44324321343.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

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, 12516814 + ... + 12519554.

It is an arithmetic number, because the mean of its divisors is an integer number (771804450).

Almost surely, 234312342344 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 34312342344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49395484800).

34312342344 is an abundant number, since it is smaller than the sum of its proper divisors (64478627256).

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

34312342344 is a wasteful number, since it uses less digits than its factorization.

34312342344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3303 (or 3299 counting only the distinct ones).

The product of its digits is 82944, while the sum is 33.

Adding to 34312342344 its reverse (44324321343), we get a palindrome (78636663687).

The spelling of 34312342344 in words is "thirty-four billion, three hundred twelve million, three hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 269 277 538 554 807 831 1076 1108 1614 1662 1883 1939 2152 2216 2741 3228 3324 3766 3878 5482 5649 5817 6456 6648 7532 7756 8223 10964 11298 11634 15064 15512 16446 19187 21928 22596 23268 32892 38374 45192 46536 57561 65784 74513 76748 115122 149026 153496 223539 230244 298052 447078 460488 521591 596104 737329 759257 894156 1043182 1474658 1518514 1564773 1788312 2086364 2211987 2277771 2949316 3037028 3129546 4172728 4423974 4555542 5161303 5314799 5898632 6074056 6259092 8847948 9111084 10322606 10629598 12518184 15483909 15944397 17695896 18222168 20645212 21259196 30967818 31888794 41290424 42518392 61935636 63777588 123871272 127555176 204240133 408480266 612720399 816960532 1225440798 1429680931 1633921064 2450881596 2859361862 4289042793 4901763192 5718723724 8578085586 11437447448 17156171172 34312342344