Search a number
-
+
1343454000 = 243537291103
BaseRepresentation
bin101000000010011…
…0111101100110000
310110121221112102120
41100010313230300
510222411012000
6341150514240
745202112340
oct12004675460
93417845376
101343454000
1162a387969
12315b05980
131854409c5
14ca5d2d20
157ce256a0
hex50137b30

1343454000 has 320 divisors, whose sum is σ = 5125386240. Its totient is φ = 296217600.

The previous prime is 1343453999. The next prime is 1343454059. The reversal of 1343454000 is 4543431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1217449 + ... + 1218551.

It is an arithmetic number, because the mean of its divisors is an integer number (16016832).

Almost surely, 21343454000 is an apocalyptic number.

1343454000 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 1343454000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562693120).

1343454000 is an abundant number, since it is smaller than the sum of its proper divisors (3781932240).

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

1343454000 is a wasteful number, since it uses less digits than its factorization.

1343454000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 1343454000 is about 36653.1581176848. The cubic root of 1343454000 is about 1103.4202085848.

Adding to 1343454000 its reverse (4543431), we get a palindrome (1347997431).

The spelling of 1343454000 in words is "one billion, three hundred forty-three million, four hundred fifty-four thousand".