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34003432320341 = 112420166893621
BaseRepresentation
bin1111011101101000010101…
…00000010010110101010101
311110101200210122220101202212
413232310022200102311111
513424103012133222331
6200152543335443205
710106444515551221
oct756641240226525
9143350718811685
1034003432320341
11a91a858093800
123992114826505
1315c8682368963
14857abc4ab781
153de792272d2b
hex1eed0a812d55

34003432320341 has 12 divisors (see below), whose sum is σ = 37384570952652. Its totient is φ = 30904852440000.

The previous prime is 34003432320289. The next prime is 34003432320359. The reversal of 34003432320341 is 14302323430043.

It can be written as a sum of positive squares in 2 ways, for example, as 6035517379441 + 27967914940900 = 2456729^2 + 5288470^2 .

It is a de Polignac number, because none of the positive numbers 2k-34003432320341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34003432320298 and 34003432320307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34003432820341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32938490 + ... + 33955131.

It is an arithmetic number, because the mean of its divisors is an integer number (3115380912721).

Almost surely, 234003432320341 is an apocalyptic number.

It is an amenable number.

34003432320341 is a deficient number, since it is larger than the sum of its proper divisors (3381138632311).

34003432320341 is a wasteful number, since it uses less digits than its factorization.

34003432320341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66897844 (or 66897833 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 34003432320341 its reverse (14302323430043), we get a palindrome (48305755750384).

The spelling of 34003432320341 in words is "thirty-four trillion, three billion, four hundred thirty-two million, three hundred twenty thousand, three hundred forty-one".

Divisors: 1 11 121 4201 46211 508321 66893621 735829831 8094128141 281020101821 3091221120031 34003432320341