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34854264 = 23324111807
BaseRepresentation
bin1000010011110…
…1010101111000
32102120210001200
42010331111320
532410314024
63243014200
7602153634
oct204752570
972523050
1034854264
1118746585
12b80a360
1372b4633
1448b3dc4
1530d72c9
hex213d578

34854264 has 48 divisors (see below), whose sum is σ = 96707520. Its totient is φ = 11333760.

The previous prime is 34854263. The next prime is 34854311. The reversal of 34854264 is 46245843.

34854264 is a `hidden beast` number, since 348 + 54 + 264 = 666.

34854264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34854263) 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 11 ways as a sum of consecutive naturals, for example, 2952 + ... + 8855.

It is an arithmetic number, because the mean of its divisors is an integer number (2014740).

Almost surely, 234854264 is an apocalyptic number.

It is an amenable number.

34854264 is an abundant number, since it is smaller than the sum of its proper divisors (61853256).

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

34854264 is a wasteful number, since it uses less digits than its factorization.

34854264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11860 (or 11853 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 34854264 is about 5903.7499947068. The cubic root of 34854264 is about 326.6519878637.

The spelling of 34854264 in words is "thirty-four million, eight hundred fifty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 11807 23614 35421 47228 70842 94456 106263 141684 212526 283368 425052 484087 850104 968174 1452261 1936348 2904522 3872696 4356783 5809044 8713566 11618088 17427132 34854264