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34501007 = 1743109433
BaseRepresentation
bin1000001110011…
…1000110001111
32101220211111002
42003213012033
532313013012
63231250515
7566153012
oct203470617
971824432
1034501007
1118525132
12b679a3b
1371bc8c8
144821379
1530677c2
hex20e718f

34501007 has 16 divisors (see below), whose sum is σ = 37810080. Its totient is φ = 31352832.

The previous prime is 34501003. The next prime is 34501013. The reversal of 34501007 is 70010543.

It is a happy number.

34501007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 34501007 - 22 = 34501003 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34501007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34501001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79463 + ... + 79895.

It is an arithmetic number, because the mean of its divisors is an integer number (2363130).

Almost surely, 234501007 is an apocalyptic number.

34501007 is a deficient number, since it is larger than the sum of its proper divisors (3309073).

34501007 is a wasteful number, since it uses less digits than its factorization.

34501007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602.

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 34501007 is about 5873.7557831425. The cubic root of 34501007 is about 325.5446708913.

The spelling of 34501007 in words is "thirty-four million, five hundred one thousand, seven".

Divisors: 1 17 43 109 433 731 1853 4687 7361 18619 47197 79679 316523 802349 2029471 34501007