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340224002300 = 225271343869471
BaseRepresentation
bin1001111001101101110…
…11100100100011111100
31012112011210111001122002
410330312323210203330
521033234321033200
6420144033041432
733403032206150
oct4746673444374
91175153431562
10340224002300
11121319641606
1255b303b6278
13261104204c0
141267737d060
158cb3b91bd5
hex4f36ee48fc

340224002300 has 144 divisors (see below), whose sum is σ = 929792489472. Its totient is φ = 105171091200.

The previous prime is 340224002297. The next prime is 340224002399. The reversal of 340224002300 is 3200422043.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43436 + ... + 826035.

It is an arithmetic number, because the mean of its divisors is an integer number (6456892288).

Almost surely, 2340224002300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340224002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464896244736).

340224002300 is an abundant number, since it is smaller than the sum of its proper divisors (589568487172).

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

340224002300 is a wasteful number, since it uses less digits than its factorization.

340224002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869548 (or 869541 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 340224002300 its reverse (3200422043), we get a palindrome (343424424343).

The spelling of 340224002300 in words is "three hundred forty billion, two hundred twenty-four million, two thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 43 50 52 65 70 86 91 100 130 140 172 175 182 215 260 301 325 350 364 430 455 559 602 650 700 860 910 1075 1118 1204 1300 1505 1820 2150 2236 2275 2795 3010 3913 4300 4550 5590 6020 7525 7826 9100 11180 13975 15050 15652 19565 27950 30100 39130 55900 78260 97825 195650 391300 869471 1738942 3477884 4347355 6086297 8694710 11303123 12172594 17389420 21736775 22606246 24345188 30431485 37387253 43473550 45212492 56515615 60862970 74774506 79121861 86947100 113031230 121725940 149549012 152157425 158243722 186936265 226062460 261710771 282578075 304314850 316487444 373872530 395609305 486034289 523421542 565156150 608629700 747745060 791218610 934681325 972068578 1046843084 1130312300 1308553855 1582437220 1869362650 1944137156 1978046525 2430171445 2617107710 3402240023 3738725300 3956093050 4860342890 5234215420 6542769275 6804480046 7912186100 9720685780 12150857225 13085538550 13608960092 17011200115 24301714450 26171077100 34022400230 48603428900 68044800460 85056000575 170112001150 340224002300