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34130203443 = 3371929327737
BaseRepresentation
bin11111110010010100…
…011001001100110011
310021002120222222101000
4133302110121030303
51024344313002233
623402412413043
72315530641210
oct376224311463
9107076888330
1034130203443
1113524679006
126746177183
1332abc73a6b
14191abb2b07
15d4b51cd13
hex7f2519333

34130203443 has 64 divisors (see below), whose sum is σ = 62925696000. Its totient is φ = 17839325952.

The previous prime is 34130203403. The next prime is 34130203451. The reversal of 34130203443 is 34430203143.

34130203443 is a `hidden beast` number, since 3 + 4 + 13 + 0 + 203 + 443 = 666.

It is not a de Polignac number, because 34130203443 - 26 = 34130203379 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34130203403) 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 63 ways as a sum of consecutive naturals, for example, 59730 + ... + 268007.

It is an arithmetic number, because the mean of its divisors is an integer number (983214000).

Almost surely, 234130203443 is an apocalyptic number.

34130203443 is a deficient number, since it is larger than the sum of its proper divisors (28795492557).

34130203443 is a wasteful number, since it uses less digits than its factorization.

34130203443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327801 (or 327795 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 34130203443 its reverse (34430203143), we get a palindrome (68560406586).

The spelling of 34130203443 in words is "thirty-four billion, one hundred thirty million, two hundred three thousand, four hundred forty-three".

Divisors: 1 3 7 9 19 21 27 29 57 63 87 133 171 189 203 261 399 513 551 609 783 1197 1653 1827 3591 3857 4959 5481 11571 14877 34713 104139 327737 983211 2294159 2949633 6227003 6882477 8848899 9504373 18681009 20647431 28513119 43589021 56043027 61942293 66530611 85539357 130767063 168129081 180583087 199591833 256618071 392301189 541749261 598775499 1176903567 1264081609 1625247783 1796326497 3792244827 4875743349 11376734481 34130203443