Search a number
-
+
1350355320 = 233351677487
BaseRepresentation
bin101000001111100…
…1100100101111000
310111002221011021000
41100133030211320
510231142332240
6341554445000
745314554656
oct12037144570
93432834230
101350355320
11633270a36
12318293760
131869b9022
14cb4abdd6
157d83a430
hex507cc978

1350355320 has 128 divisors (see below), whose sum is σ = 4528742400. Its totient is φ = 357890688.

The previous prime is 1350355297. The next prime is 1350355351. The reversal of 1350355320 is 235530531.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176617 + ... + 184103.

It is an arithmetic number, because the mean of its divisors is an integer number (35380800).

Almost surely, 21350355320 is an apocalyptic number.

1350355320 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 1350355320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264371200).

1350355320 is an abundant number, since it is smaller than the sum of its proper divisors (3178387080).

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

1350355320 is a wasteful number, since it uses less digits than its factorization.

1350355320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7674 (or 7664 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The square root of 1350355320 is about 36747.1811163795. The cubic root of 1350355320 is about 1105.3064047955.

Adding to 1350355320 its reverse (235530531), we get a palindrome (1585885851).

The spelling of 1350355320 in words is "one billion, three hundred fifty million, three hundred fifty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 167 180 216 270 334 360 501 540 668 835 1002 1080 1336 1503 1670 2004 2505 3006 3340 4008 4509 5010 6012 6680 7487 7515 9018 10020 12024 14974 15030 18036 20040 22461 22545 29948 30060 36072 37435 44922 45090 59896 60120 67383 74870 89844 90180 112305 134766 149740 179688 180360 202149 224610 269532 299480 336915 404298 449220 539064 673830 808596 898440 1010745 1250329 1347660 1617192 2021490 2500658 2695320 3750987 4042980 5001316 6251645 7501974 8085960 10002632 11252961 12503290 15003948 18754935 22505922 25006580 30007896 33758883 37509870 45011844 50013160 56264805 67517766 75019740 90023688 112529610 135035532 150039480 168794415 225059220 270071064 337588830 450118440 675177660 1350355320