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8324064 = 253274129
BaseRepresentation
bin11111110000001111100000
3120122220110200
4133300033200
54112332224
6454225200
7130516260
oct37601740
916586420
108324064
114775aa1
122955200
131955aa8
1411697a0
15ae65c9
hex7f03e0

8324064 has 72 divisors (see below), whose sum is σ = 27059760. Its totient is φ = 2377728.

The previous prime is 8324059. The next prime is 8324077. The reversal of 8324064 is 4604238.

It is a tau number, because it is divible by the number of its divisors (72).

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49 + ... + 4080.

It is an arithmetic number, because the mean of its divisors is an integer number (375830).

Almost surely, 28324064 is an apocalyptic number.

8324064 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8324064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13529880).

8324064 is an abundant number, since it is smaller than the sum of its proper divisors (18735696).

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

8324064 is a wasteful number, since it uses less digits than its factorization.

8324064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4152 (or 4141 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 8324064 is about 2885.1454036149. The cubic root of 8324064 is about 202.6648680204.

The spelling of 8324064 in words is "eight million, three hundred twenty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 4129 8258 12387 16516 24774 28903 33032 37161 49548 57806 66064 74322 86709 99096 115612 132128 148644 173418 198192 231224 260127 297288 346836 396384 462448 520254 594576 693672 924896 1040508 1189152 1387344 2081016 2774688 4162032 8324064