Search a number
-
+
1364322300 = 22352114011031
BaseRepresentation
bin101000101010001…
…1110011111111100
310112002012202100120
41101110132133330
510243231303200
6343214054540
745544356015
oct12124363774
93462182316
101364322300
116401405a0
12320aaa450
13189869403
14cd2a600c
157eb989a0
hex5151e7fc

1364322300 has 144 divisors (see below), whose sum is σ = 4321223424. Its totient is φ = 329600000.

The previous prime is 1364322299. The next prime is 1364322353. The reversal of 1364322300 is 32234631.

It is a super-2 number, since 2×13643223002 = 3722750676554580000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1322785 + ... + 1323815.

It is an arithmetic number, because the mean of its divisors is an integer number (30008496).

Almost surely, 21364322300 is an apocalyptic number.

1364322300 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 1364322300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2160611712).

1364322300 is an abundant number, since it is smaller than the sum of its proper divisors (2956901124).

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

1364322300 is a wasteful number, since it uses less digits than its factorization.

1364322300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 1364322300 is about 36936.7337483974. The cubic root of 1364322300 is about 1109.1041387793.

Adding to 1364322300 its reverse (32234631), we get a palindrome (1396556931).

The spelling of 1364322300 in words is "one billion, three hundred sixty-four million, three hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 401 550 660 802 825 1031 1100 1203 1604 1650 2005 2062 2406 3093 3300 4010 4124 4411 4812 5155 6015 6186 8020 8822 10025 10310 11341 12030 12372 13233 15465 17644 20050 20620 22055 22682 24060 25775 26466 30075 30930 34023 40100 44110 45364 51550 52932 56705 60150 61860 66165 68046 77325 88220 103100 110275 113410 120300 132330 136092 154650 170115 220550 226820 264660 283525 309300 330825 340230 413431 441100 567050 661650 680460 826862 850575 1134100 1240293 1323300 1653724 1701150 2067155 2480586 3402300 4134310 4547741 4961172 6201465 8268620 9095482 10335775 12402930 13643223 18190964 20671550 22738705 24805860 27286446 31007325 41343100 45477410 54572892 62014650 68216115 90954820 113693525 124029300 136432230 227387050 272864460 341080575 454774100 682161150 1364322300