[go: up one dir, main page]

Search a number
-
+
1340300200 = 235217338737
BaseRepresentation
bin100111111100011…
…0101101110101000
310110102000022020011
41033320311232220
510221104101300
6340555141304
745133235521
oct11770655650
93412008204
101340300200
11628623418
12314a44834
131848a8355
14ca011848
157ca00eba
hex4fe35ba8

1340300200 has 48 divisors (see below), whose sum is σ = 3134291580. Its totient is φ = 533007360.

The previous prime is 1340300191. The next prime is 1340300201. The reversal of 1340300200 is 20030431.

It can be written as a sum of positive squares in 6 ways, for example, as 485673444 + 854626756 = 22038^2 + 29234^2 .

It is a super-2 number, since 2×13403002002 = 3592809252240080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1340300201) 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, 15232 + ... + 53968.

Almost surely, 21340300200 is an apocalyptic number.

1340300200 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 1340300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567145790).

1340300200 is an abundant number, since it is smaller than the sum of its proper divisors (1793991380).

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

1340300200 is a wasteful number, since it uses less digits than its factorization.

1340300200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38926 (or 38917 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 1340300200 is about 36610.1106253450. The cubic root of 1340300200 is about 1102.5560943139.

Adding to 1340300200 its reverse (20030431), we get a palindrome (1360330631).

The spelling of 1340300200 in words is "one billion, three hundred forty million, three hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 173 200 346 692 865 1384 1730 3460 4325 6920 8650 17300 34600 38737 77474 154948 193685 309896 387370 774740 968425 1549480 1936850 3873700 6701501 7747400 13403002 26806004 33507505 53612008 67015010 134030020 167537525 268060040 335075050 670150100 1340300200