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1336336 = 24174
BaseRepresentation
bin101000110010000010000
32111220002221
411012100100
5320230321
644350424
714234011
oct5062020
92456087
101336336
11833011
12545414
1337a341
1426b008
151b5e41
hex146410

1336336 has 25 divisors (see below), whose sum is σ = 2750971. Its totient is φ = 628864.

The previous prime is 1336333. The next prime is 1336337. The reversal of 1336336 is 6336331.

It is a happy number.

The square root of 1336336 is 1156.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 414736 + 921600 = 644^2 + 960^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1336336.

It is not an unprimeable number, because it can be changed into a prime (1336333) by changing a digit.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 78600 + ... + 78616.

21336336 is an apocalyptic number.

1336336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1336336 is the 1156-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1336336

1336336 is an abundant number, since it is smaller than the sum of its proper divisors (1414635).

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

1336336 is an frugal number, since it uses more digits than its factorization.

1336336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 19 counting only the distinct ones).

The product of its digits is 2916, while the sum is 25.

The cubic root of 1336336 is about 110.1468012434.

Multiplying 1336336 by its sum of digits (25), we get a square (33408400 = 57802).

Multiplying 1336336 by its product of digits (2916), we get a square (3896755776 = 624242).

The spelling of 1336336 in words is "one million, three hundred thirty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 4624 4913 9826 19652 39304 78608 83521 167042 334084 668168 1336336