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1376336 = 24132509
BaseRepresentation
bin101010000000001010000
32120220222102
411100001100
5323020321
645255532
714461433
oct5200120
92526872
101376336
11860075
125645a8
13392600
1427b81a
151c2c0b
hex150050

1376336 has 30 divisors (see below), whose sum is σ = 2893230. Its totient is φ = 633984.

The previous prime is 1376321. The next prime is 1376339. The reversal of 1376336 is 6336731.

It can be written as a sum of positive squares in 3 ways, for example, as 40000 + 1336336 = 200^2 + 1156^2 .

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 1376299 and 1376308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1376339) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 2450 + ... + 2958.

It is an arithmetic number, because the mean of its divisors is an integer number (96441).

21376336 is an apocalyptic number.

1376336 is a gapful number since it is divisible by the number (16) 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 1376336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446615).

1376336 is an abundant number, since it is smaller than the sum of its proper divisors (1516894).

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

1376336 is a wasteful number, since it uses less digits than its factorization.

1376336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 524 counting only the distinct ones).

The product of its digits is 6804, while the sum is 29.

The square root of 1376336 is about 1173.1734739586. The cubic root of 1376336 is about 111.2350078691.

The spelling of 1376336 in words is "one million, three hundred seventy-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 509 676 1018 1352 2036 2704 4072 6617 8144 13234 26468 52936 86021 105872 172042 344084 688168 1376336