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34020033310004 = 22719126931217577
BaseRepresentation
bin1111011110000111010000…
…00000000010110100110100
311110110021122121121001101212
413233003220000002310310
513424341012011410004
6200204330524340552
710110603065622050
oct757035000026464
9143407577531355
1034020033310004
11a9268a69a2a75
1239953883a4758
1315ca0c97a6071
148588151a2c60
153dee148ce96e
hex1ef0e8002d34

34020033310004 has 96 divisors (see below), whose sum is σ = 68681618288640. Its totient is φ = 14443225804800.

The previous prime is 34020033310001. The next prime is 34020033310027. The reversal of 34020033310004 is 40001333002043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34020033310001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4489904264 + ... + 4489911840.

It is an arithmetic number, because the mean of its divisors is an integer number (715433523840).

Almost surely, 234020033310004 is an apocalyptic number.

It is an amenable number.

34020033310004 is an abundant number, since it is smaller than the sum of its proper divisors (34661584978636).

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

34020033310004 is a wasteful number, since it uses less digits than its factorization.

34020033310004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11169 (or 11167 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 34020033310004 its reverse (40001333002043), we get a palindrome (74021366312047).

The spelling of 34020033310004 in words is "thirty-four trillion, twenty billion, thirty-three million, three hundred ten thousand, four".

Divisors: 1 2 4 7 14 28 191 269 382 538 764 1076 1337 1883 2674 3121 3766 5348 6242 7532 7577 12484 15154 21847 30308 43694 51379 53039 87388 102758 106078 205516 212156 359653 596111 719306 839549 1192222 1438612 1447207 1679098 2038213 2384444 2894414 3358196 4076426 4172777 5788828 5876843 8152852 8345554 10130449 11753686 14267491 16691108 20260898 23507372 23647817 28534982 40521796 47295634 57069964 94591268 160353859 165534719 320707718 331069438 389298683 641415436 662138876 778597366 1122477013 1557194732 2244954026 2725090781 4489908052 4516733047 5450181562 6361262773 9033466094 10900363124 12722525546 18066932188 25445051092 31617131329 44528839411 63234262658 89057678822 126468525316 178115357644 1215001189643 2430002379286 4860004758572 8505008327501 17010016655002 34020033310004