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1339344 = 243271131
BaseRepresentation
bin101000110111111010000
32112001020100
411012333100
5320324334
644412400
714245536
oct5067720
92461210
101339344
118352a6
12547100
1337b816
1426c156
151b6c99
hex146fd0

1339344 has 60 divisors (see below), whose sum is σ = 3830112. Its totient is φ = 436800.

The previous prime is 1339343. The next prime is 1339357. The reversal of 1339344 is 4439331.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3888) is a multiple of the sum of its prime factors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1339343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10159 + ... + 10289.

21339344 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 1339344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915056).

1339344 is an abundant number, since it is smaller than the sum of its proper divisors (2490768).

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

1339344 is a wasteful number, since it uses less digits than its factorization.

1339344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 207 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 1339344 is about 1157.3003067484. The cubic root of 1339344 is about 110.2293835916.

The spelling of 1339344 in words is "one million, three hundred thirty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 131 142 144 213 262 284 393 426 524 568 639 786 852 1048 1136 1179 1278 1572 1704 2096 2358 2556 3144 3408 4716 5112 6288 9301 9432 10224 18602 18864 27903 37204 55806 74408 83709 111612 148816 167418 223224 334836 446448 669672 1339344