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34037407041 = 3111237833821
BaseRepresentation
bin11111101100110010…
…011001110101000001
310020212010101102122020
4133230302121311001
51024202034011131
623345255432053
72313323120601
oct375462316501
9106763342566
1034037407041
1113487257770
12671b085629
133295983051
14190c738c01
15d432dc996
hex7ecc99d41

34037407041 has 16 divisors (see below), whose sum is σ = 49549038528. Its totient is φ = 20612030400.

The previous prime is 34037407037. The next prime is 34037407057. The reversal of 34037407041 is 14070473043.

It is not a de Polignac number, because 34037407041 - 22 = 34037407037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34037406993 and 34037407011.

It is not an unprimeable number, because it can be changed into a prime (34037407081) 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 15 ways as a sum of consecutive naturals, for example, 376090 + ... + 457731.

It is an arithmetic number, because the mean of its divisors is an integer number (3096814908).

Almost surely, 234037407041 is an apocalyptic number.

It is an amenable number.

34037407041 is a deficient number, since it is larger than the sum of its proper divisors (15511631487).

34037407041 is a wasteful number, since it uses less digits than its factorization.

34037407041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835072.

The product of its (nonzero) digits is 28224, while the sum is 33.

The spelling of 34037407041 in words is "thirty-four billion, thirty-seven million, four hundred seven thousand, forty-one".

Divisors: 1 3 11 33 1237 3711 13607 40821 833821 2501463 9172031 27516093 1031436577 3094309731 11345802347 34037407041