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34506540 = 2233563901
BaseRepresentation
bin1000001110100…
…0011100101100
32101221010002000
42003220130230
532313202130
63231332300
7566205105
oct203503454
971833060
1034506540
1118529302
12b681090
1371c2293
1448233ac
153069260
hex20e872c

34506540 has 48 divisors (see below), whose sum is σ = 107355360. Its totient is φ = 9201600.

The previous prime is 34506529. The next prime is 34506547. The reversal of 34506540 is 4560543.

34506540 is a `hidden beast` number, since 3 + 4 + 5 + 0 + 654 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34506547) 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, 31411 + ... + 32490.

It is an arithmetic number, because the mean of its divisors is an integer number (2236570).

Almost surely, 234506540 is an apocalyptic number.

34506540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34506540 is an abundant number, since it is smaller than the sum of its proper divisors (72848820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34506540 is a wasteful number, since it uses less digits than its factorization.

34506540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63919 (or 63911 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 34506540 is about 5874.2267576252. The cubic root of 34506540 is about 325.5620727253.

The spelling of 34506540 in words is "thirty-four million, five hundred six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 63901 127802 191703 255604 319505 383406 575109 639010 766812 958515 1150218 1278020 1725327 1917030 2300436 2875545 3450654 3834060 5751090 6901308 8626635 11502180 17253270 34506540