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1341300400 = 2452112231367
BaseRepresentation
bin100111111110010…
…1001111010110000
310110110220010020121
41033330221322300
510221333103100
6341032420024
745144602536
oct11774517260
93413803217
101341300400
11629146930
12315247614
13184b6869b
14ca1d2156
157cb4c51a
hex4ff29eb0

1341300400 has 120 divisors (see below), whose sum is σ = 3533773824. Its totient is φ = 485203200.

The previous prime is 1341300379. The next prime is 1341300437. The reversal of 1341300400 is 40031431.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 980517 + ... + 981883.

Almost surely, 21341300400 is an apocalyptic number.

1341300400 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 1341300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766886912).

1341300400 is an abundant number, since it is smaller than the sum of its proper divisors (2192473424).

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

1341300400 is a wasteful number, since it uses less digits than its factorization.

1341300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1341300400 is about 36623.7682386725. The cubic root of 1341300400 is about 1102.8302872157.

Adding to 1341300400 its reverse (40031431), we get a palindrome (1381331831).

The spelling of 1341300400 in words is "one billion, three hundred forty-one million, three hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 223 275 400 440 446 550 880 892 1100 1115 1367 1784 2200 2230 2453 2734 3568 4400 4460 4906 5468 5575 6835 8920 9812 10936 11150 12265 13670 15037 17840 19624 21872 22300 24530 27340 30074 34175 39248 44600 49060 54680 60148 61325 68350 75185 89200 98120 109360 120296 122650 136700 150370 196240 240592 245300 273400 300740 304841 375925 490600 546800 601480 609682 751850 981200 1202960 1219364 1503700 1524205 2438728 3007400 3048410 3353251 4877456 6014800 6096820 6706502 7621025 12193640 13413004 15242050 16766255 24387280 26826008 30484100 33532510 53652016 60968200 67065020 83831275 121936400 134130040 167662550 268260080 335325100 670650200 1341300400