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34546141 = 7101131373
BaseRepresentation
bin1000001111001…
…0000111011101
32102000010101201
42003302013131
532320434031
63232235501
7566431420
oct203620735
972003351
1034546141
1118556033
12b69bb91
137207306
1448339b7
153075d61
hex20f21dd

34546141 has 16 divisors (see below), whose sum is σ = 40284288. Its totient is φ = 29016000.

The previous prime is 34546079. The next prime is 34546153. The reversal of 34546141 is 14164543.

34546141 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 34546141 - 27 = 34546013 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 (34546241) 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, 92431 + ... + 92803.

It is an arithmetic number, because the mean of its divisors is an integer number (2517768).

Almost surely, 234546141 is an apocalyptic number.

It is an amenable number.

34546141 is a deficient number, since it is larger than the sum of its proper divisors (5738147).

34546141 is a wasteful number, since it uses less digits than its factorization.

34546141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612.

The product of its digits is 5760, while the sum is 28.

The square root of 34546141 is about 5877.5965325973. The cubic root of 34546141 is about 325.6865675291.

The spelling of 34546141 in words is "thirty-four million, five hundred forty-six thousand, one hundred forty-one".

Divisors: 1 7 101 131 373 707 917 2611 13231 37673 48863 92617 263711 342041 4935163 34546141