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1306344 = 233135379
BaseRepresentation
bin100111110111011101000
32110100222010
410332323220
5313300334
643555520
714050404
oct4767350
92410863
101306344
11812526
1252bba0
133697b0
14260104
151ac0e9
hex13eee8

1306344 has 64 divisors (see below), whose sum is σ = 3628800. Its totient is φ = 389376.

The previous prime is 1306343. The next prime is 1306351. The reversal of 1306344 is 4436031.

1306344 = T195 + T196 + ... + T247.

It is a self number, because there is not a number n which added to its sum of digits gives 1306344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16497 + ... + 16575.

It is an arithmetic number, because the mean of its divisors is an integer number (56700).

21306344 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 1306344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814400).

1306344 is an abundant number, since it is smaller than the sum of its proper divisors (2322456).

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

1306344 is a wasteful number, since it uses less digits than its factorization.

1306344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1306344 is about 1142.9540673185. The cubic root of 1306344 is about 109.3165335414.

The spelling of 1306344 in words is "one million, three hundred six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 53 78 79 104 106 156 158 159 212 237 312 316 318 424 474 632 636 689 948 1027 1272 1378 1896 2054 2067 2756 3081 4108 4134 4187 5512 6162 8216 8268 8374 12324 12561 16536 16748 24648 25122 33496 50244 54431 100488 108862 163293 217724 326586 435448 653172 1306344