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1348380 = 2233511227
BaseRepresentation
bin101001001001100011100
32112111122000
411021030130
5321122010
644522300
714314065
oct5111434
92474560
101348380
11841070
12550390
13382977
1427156c
151b97c0
hex14931c

1348380 has 96 divisors (see below), whose sum is σ = 4596480. Its totient is φ = 325440.

The previous prime is 1348379. The next prime is 1348381. The reversal of 1348380 is 838431.

It is an interprime number because it is at equal distance from previous prime (1348379) and next prime (1348381).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1348381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5827 + ... + 6053.

It is an arithmetic number, because the mean of its divisors is an integer number (47880).

21348380 is an apocalyptic number.

1348380 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 1348380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298240).

1348380 is an abundant number, since it is smaller than the sum of its proper divisors (3248100).

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

1348380 is a wasteful number, since it uses less digits than its factorization.

1348380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1348380 is about 1161.1976575932. The cubic root of 1348380 is about 110.4767188861.

It can be divided in two parts, 1348 and 380, that added together give a cube (1728 = 123).

The spelling of 1348380 in words is "one million, three hundred forty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 227 270 297 330 396 454 495 540 594 660 681 908 990 1135 1188 1362 1485 1980 2043 2270 2497 2724 2970 3405 4086 4540 4994 5940 6129 6810 7491 8172 9988 10215 12258 12485 13620 14982 20430 22473 24516 24970 29964 30645 37455 40860 44946 49940 61290 67419 74910 89892 112365 122580 134838 149820 224730 269676 337095 449460 674190 1348380