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34506461 = 114176511
BaseRepresentation
bin1000001110100…
…0011011011101
32101221002222002
42003220123131
532313201321
63231332045
7566204633
oct203503335
971832862
1034506461
1118529240
12b681025
1371c2232
144823353
15306920b
hex20e86dd

34506461 has 8 divisors (see below), whose sum is σ = 38562048. Its totient is φ = 30604000.

The previous prime is 34506391. The next prime is 34506469. The reversal of 34506461 is 16460543.

It is a happy number.

34506461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34506461 - 222 = 30312157 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34506469) 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 7 ways as a sum of consecutive naturals, for example, 37805 + ... + 38706.

It is an arithmetic number, because the mean of its divisors is an integer number (4820256).

Almost surely, 234506461 is an apocalyptic number.

It is an amenable number.

34506461 is a deficient number, since it is larger than the sum of its proper divisors (4055587).

34506461 is a wasteful number, since it uses less digits than its factorization.

34506461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76563.

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 34506461 is about 5874.2200333321. The cubic root of 34506461 is about 325.5618242755.

The spelling of 34506461 in words is "thirty-four million, five hundred six thousand, four hundred sixty-one".

Divisors: 1 11 41 451 76511 841621 3136951 34506461