Search a number
-
+
1343321300 = 225217790189
BaseRepresentation
bin101000000010001…
…0111010011010100
310110121200210101202
41100010113103110
510222342240200
6341144012032
745201020426
oct12004272324
93417623352
101343321300
1162a2a71a2
12315a61018
131853c5499
14ca59a816
157cdeb1d5
hex501174d4

1343321300 has 36 divisors (see below), whose sum is σ = 3086482140. Its totient is φ = 505720320.

The previous prime is 1343321251. The next prime is 1343321303. The reversal of 1343321300 is 31233431.

It can be written as a sum of positive squares in 6 ways, for example, as 6980164 + 1336341136 = 2642^2 + 36556^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1343321303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 393395 + ... + 396794.

It is an arithmetic number, because the mean of its divisors is an integer number (85735615).

Almost surely, 21343321300 is an apocalyptic number.

1343321300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1343321300 is an abundant number, since it is smaller than the sum of its proper divisors (1743160840).

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

1343321300 is a wasteful number, since it uses less digits than its factorization.

1343321300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790220 (or 790213 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 1343321300 is about 36651.3478606176. The cubic root of 1343321300 is about 1103.3838771875.

Adding to 1343321300 its reverse (31233431), we get a palindrome (1374554731).

The spelling of 1343321300 in words is "one billion, three hundred forty-three million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 790189 1580378 3160756 3950945 7901890 13433213 15803780 19754725 26866426 39509450 53732852 67166065 79018900 134332130 268664260 335830325 671660650 1343321300