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34175100340 = 22517199750333
BaseRepresentation
bin11111110100111111…
…101010010110110100
310021012201110222100001
4133310333222112310
51024442311202330
623411055001044
72316614363023
oct376477522664
9107181428301
1034175100340
1113547a53787
126759209184
1332b8363484
141922b3c8ba
15d5043a9ca
hex7f4fea5b4

34175100340 has 48 divisors (see below), whose sum is σ = 76028902992. Its totient is φ = 12859222016.

The previous prime is 34175100317. The next prime is 34175100343. The reversal of 34175100340 is 4300157143.

It can be written as a sum of positive squares in 8 ways, for example, as 232196644 + 33942903696 = 15238^2 + 184236^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34175100299 and 34175100308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34175100343) 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 15 ways as a sum of consecutive naturals, for example, 653814 + ... + 704146.

It is an arithmetic number, because the mean of its divisors is an integer number (1583935479).

Almost surely, 234175100340 is an apocalyptic number.

It is an amenable number.

34175100340 is an abundant number, since it is smaller than the sum of its proper divisors (41853802652).

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

34175100340 is a wasteful number, since it uses less digits than its factorization.

34175100340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52356 (or 52354 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

Adding to 34175100340 its reverse (4300157143), we get a palindrome (38475257483).

The spelling of 34175100340 in words is "thirty-four billion, one hundred seventy-five million, one hundred thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 1997 3994 7988 9985 19970 33949 39940 50333 67898 100666 135796 169745 201332 251665 339490 503330 678980 855661 1006660 1711322 3422644 4278305 8556610 17113220 100515001 201030002 402060004 502575005 1005150010 1708755017 2010300020 3417510034 6835020068 8543775085 17087550170 34175100340