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1349320 = 23576179
BaseRepresentation
bin101001001011011001000
32112112220211
411021123020
5321134240
644530504
714316610
oct5113310
92475824
101349320
11841845
12550a34
1338321b
14271a40
151b9bea
hex1496c8

1349320 has 64 divisors (see below), whose sum is σ = 3571200. Its totient is φ = 449280.

The previous prime is 1349317. The next prime is 1349339. The reversal of 1349320 is 239431.

It is a junction number, because it is equal to n+sod(n) for n = 1349291 and 1349300.

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, 17041 + ... + 17119.

It is an arithmetic number, because the mean of its divisors is an integer number (55800).

21349320 is an apocalyptic number.

1349320 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 1349320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785600).

1349320 is an abundant number, since it is smaller than the sum of its proper divisors (2221880).

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

1349320 is a wasteful number, since it uses less digits than its factorization.

1349320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 1349320 is about 1161.6023415954. The cubic root of 1349320 is about 110.5023852396.

The spelling of 1349320 in words is "one million, three hundred forty-nine thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 61 70 79 122 140 158 244 280 305 316 395 427 488 553 610 632 790 854 1106 1220 1580 1708 2135 2212 2440 2765 3160 3416 4270 4424 4819 5530 8540 9638 11060 17080 19276 22120 24095 33733 38552 48190 67466 96380 134932 168665 192760 269864 337330 674660 1349320