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8080384 = 21013607
BaseRepresentation
bin11110110100110000000000
3120012112012111
4132310300000
54032033014
6445105104
7125452654
oct36646000
916175174
108080384
114619a04
122858194
13189bbc0
141104a64
15a992c4
hex7b4c00

8080384 has 44 divisors (see below), whose sum is σ = 17424064. Its totient is φ = 3723264.

The previous prime is 8080379. The next prime is 8080411. The reversal of 8080384 is 4830808.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13009 + ... + 13615.

Almost surely, 28080384 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 8080384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8712032).

8080384 is an abundant number, since it is smaller than the sum of its proper divisors (9343680).

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

8080384 is a wasteful number, since it uses less digits than its factorization.

8080384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 8080384 is about 2842.6016252722. The cubic root of 8080384 is about 200.6676355009.

It can be divided in two parts, 8080 and 384, that added together give a square (8464 = 922).

The spelling of 8080384 in words is "eight million, eighty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 607 832 1024 1214 1664 2428 3328 4856 6656 7891 9712 13312 15782 19424 31564 38848 63128 77696 126256 155392 252512 310784 505024 621568 1010048 2020096 4040192 8080384