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84034256 = 2441532417
BaseRepresentation
bin1010000001001…
…00001011010000
312212010101022212
411000210023100
5133003044011
612201051252
72040164555
oct500441320
9185111285
1084034256
11434871a9
1224186b28
1314543717
14b236a2c
15759e08b
hex50242d0

84034256 has 40 divisors (see below), whose sum is σ = 170004744. Its totient is φ = 40202240.

The previous prime is 84034253. The next prime is 84034259. The reversal of 84034256 is 65243048.

It is an interprime number because it is at equal distance from previous prime (84034253) and next prime (84034259).

It can be written as a sum of positive squares in 4 ways, for example, as 21939856 + 62094400 = 4684^2 + 7880^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84034253) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33560 + ... + 35976.

Almost surely, 284034256 is an apocalyptic number.

It is an amenable number.

84034256 is an abundant number, since it is smaller than the sum of its proper divisors (85970488).

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

84034256 is a wasteful number, since it uses less digits than its factorization.

84034256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2519 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 84034256 is about 9167.0200174321. The cubic root of 84034256 is about 438.0114395517.

The spelling of 84034256 in words is "eighty-four million, thirty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 41 53 82 106 164 212 328 424 656 848 2173 2417 4346 4834 8692 9668 17384 19336 34768 38672 99097 128101 198194 256202 396388 512404 792776 1024808 1585552 2049616 5252141 10504282 21008564 42017128 84034256