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8342064 = 2432193049
BaseRepresentation
bin11111110100101000110000
3120200211011100
4133310220300
54113421224
6454444400
7130622613
oct37645060
916624140
108342064
114788575
122963700
131961043
14117217a
15aebac9
hex7f4a30

8342064 has 60 divisors (see below), whose sum is σ = 24583000. Its totient is φ = 2633472.

The previous prime is 8342051. The next prime is 8342093. The reversal of 8342064 is 4602438.

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, 1212 + ... + 4260.

Almost surely, 28342064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8342064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12291500).

8342064 is an abundant number, since it is smaller than the sum of its proper divisors (16240936).

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

8342064 is a wasteful number, since it uses less digits than its factorization.

8342064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082 (or 3073 counting only the distinct ones).

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

The square root of 8342064 is about 2888.2631459062. The cubic root of 8342064 is about 202.8108440451.

The spelling of 8342064 in words is "eight million, three hundred forty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 3049 6098 9147 12196 18294 24392 27441 36588 48784 54882 57931 73176 109764 115862 146352 173793 219528 231724 347586 439056 463448 521379 695172 926896 1042758 1390344 2085516 2780688 4171032 8342064