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1384480 = 25517509
BaseRepresentation
bin101010010000000100000
32121100011001
411102000200
5323300410
645401344
714524246
oct5220040
92540131
101384480
118661a9
12569254
13396226
14280796
151c533a
hex152020

1384480 has 48 divisors (see below), whose sum is σ = 3470040. Its totient is φ = 520192.

The previous prime is 1384477. The next prime is 1384499. The reversal of 1384480 is 844831.

It can be written as a sum of positive squares in 4 ways, for example, as 1354896 + 29584 = 1164^2 + 172^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2466 + ... + 2974.

21384480 is an apocalyptic number.

1384480 is a gapful number since it is divisible by the number (10) 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 1384480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735020).

1384480 is an abundant number, since it is smaller than the sum of its proper divisors (2085560).

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

1384480 is a wasteful number, since it uses less digits than its factorization.

1384480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 1384480 is about 1176.6392820232. The cubic root of 1384480 is about 111.4539749851.

It can be divided in two parts, 13844 and 80, that added together give a square (13924 = 1182).

The spelling of 1384480 in words is "one million, three hundred eighty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 509 544 680 1018 1360 2036 2545 2720 4072 5090 8144 8653 10180 16288 17306 20360 34612 40720 43265 69224 81440 86530 138448 173060 276896 346120 692240 1384480