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1348080 = 243541137
BaseRepresentation
bin101001001000111110000
32112111012220
411021013300
5321114310
644521040
714313156
oct5110760
92474186
101348080
11840918
12550180
133827a6
142713d6
151b9670
hex1491f0

1348080 has 80 divisors (see below), whose sum is σ = 4312224. Its totient is φ = 348160.

The previous prime is 1348073. The next prime is 1348111. The reversal of 1348080 is 808431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1348080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9772 + ... + 9908.

21348080 is an apocalyptic number.

1348080 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 1348080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156112).

1348080 is an abundant number, since it is smaller than the sum of its proper divisors (2964144).

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

1348080 is a wasteful number, since it uses less digits than its factorization.

1348080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1348080 is about 1161.0684734330. The cubic root of 1348080 is about 110.4685249858.

The spelling of 1348080 in words is "one million, three hundred forty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 137 164 205 240 246 274 328 410 411 492 548 615 656 685 820 822 984 1096 1230 1370 1640 1644 1968 2055 2192 2460 2740 3280 3288 4110 4920 5480 5617 6576 8220 9840 10960 11234 16440 16851 22468 28085 32880 33702 44936 56170 67404 84255 89872 112340 134808 168510 224680 269616 337020 449360 674040 1348080