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1349280 = 25325937
BaseRepresentation
bin101001001011010100000
32112112212100
411021122200
5321134110
644530400
714316522
oct5113240
92475770
101349280
11841809
12550a00
133831ba
14271a12
151b9bc0
hex1496a0

1349280 has 72 divisors (see below), whose sum is σ = 4609332. Its totient is φ = 359424.

The previous prime is 1349251. The next prime is 1349281. The reversal of 1349280 is 829431.

It can be written as a sum of positive squares in 2 ways, for example, as 1192464 + 156816 = 1092^2 + 396^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (1349281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 972 + ... + 1908.

21349280 is an apocalyptic number.

1349280 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 1349280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304666).

1349280 is an abundant number, since it is smaller than the sum of its proper divisors (3260052).

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

1349280 is a wasteful number, since it uses less digits than its factorization.

1349280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1349280 is about 1161.5851238717. The cubic root of 1349280 is about 110.5012932972.

It can be divided in two parts, 1 and 349280, that added together give a square (349281 = 5912).

The spelling of 1349280 in words is "one million, three hundred forty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 937 1440 1874 2811 3748 4685 5622 7496 8433 9370 11244 14055 14992 16866 18740 22488 28110 29984 33732 37480 42165 44976 56220 67464 74960 84330 89952 112440 134928 149920 168660 224880 269856 337320 449760 674640 1349280