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34343023252516 = 22114133777373079
BaseRepresentation
bin1111100111100000110111…
…01100111001010000100100
311111121011100100011011110021
413303300123230321100210
514000134002423040031
6201012544520004524
710143126063055036
oct763603354712044
9144534310134407
1034343023252516
11aa4088133a360
123a27aa9000744
1316216c1582044
1486a2d5735c56
153e851a563511
hex1f3c1bb39424

34343023252516 has 96 divisors (see below), whose sum is σ = 67450438298880. Its totient is φ = 15164678860800.

The previous prime is 34343023252513. The next prime is 34343023252537. The reversal of 34343023252516 is 61525232034343.

It is a happy number.

It is a super-2 number, since 2×343430232525162 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34343023252513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 469907265 + ... + 469980343.

It is an arithmetic number, because the mean of its divisors is an integer number (702608732280).

Almost surely, 234343023252516 is an apocalyptic number.

It is an amenable number.

34343023252516 is a deficient number, since it is larger than the sum of its proper divisors (33107415046364).

34343023252516 is a wasteful number, since it uses less digits than its factorization.

34343023252516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74245 (or 74243 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 43.

Adding to 34343023252516 its reverse (61525232034343), we get a palindrome (95868255286859).

The spelling of 34343023252516 in words is "thirty-four trillion, three hundred forty-three billion, twenty-three million, two hundred fifty-two thousand, five hundred sixteen".

Divisors: 1 2 4 11 22 41 44 82 164 337 451 674 773 902 1348 1546 1804 3092 3707 7414 8503 13817 14828 17006 27634 31693 34012 55268 63386 73079 126772 146158 151987 260501 292316 303974 348623 521002 607948 697246 803869 1042004 1394492 1607738 2865511 2996239 3215476 5731022 5992478 10680541 11462044 11984956 21361082 24627623 32958629 42722164 49255246 56490067 65917258 98510492 112980134 117485951 131834516 225960268 234971902 270903853 469943804 541807706 621390737 1009732543 1083615412 1242781474 2019465086 2316092747 2485562948 4038930172 4632185494 9264370988 11107057973 19037152579 22214115946 25477020217 38074305158 44428231892 50954040434 76148610316 101908080868 209408678369 418817356738 780523255739 837634713476 1561046511478 3122093022956 8585755813129 17171511626258 34343023252516