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34388096006 = 21129145936943
BaseRepresentation
bin100000000001101100…
…001011010000000110
310021202120021021110102
4200001230023100012
51030411323033011
623444144124102
72325111664445
oct400154132006
9107676237412
1034388096006
1113647202560
1267b8606632
13332051aa04
141943144d5c
15d63eb073b
hex801b0b406

34388096006 has 32 divisors (see below), whose sum is σ = 58253299200. Its totient is φ = 15081202080.

The previous prime is 34388096003. The next prime is 34388096023. The reversal of 34388096006 is 60069088343.

It is a super-2 number, since 2×343880960062 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34388096003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 912371 + ... + 949313.

It is an arithmetic number, because the mean of its divisors is an integer number (1820415600).

Almost surely, 234388096006 is an apocalyptic number.

34388096006 is a deficient number, since it is larger than the sum of its proper divisors (23865203194).

34388096006 is a wasteful number, since it uses less digits than its factorization.

34388096006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38444.

The product of its (nonzero) digits is 746496, while the sum is 47.

The spelling of 34388096006 in words is "thirty-four billion, three hundred eighty-eight million, ninety-six thousand, six".

Divisors: 1 2 11 22 29 58 319 638 1459 2918 16049 32098 36943 42311 73886 84622 406373 465421 812746 930842 1071347 2142694 11784817 23569634 53899837 107799674 592898207 1185796414 1563095273 3126190546 17194048003 34388096006