Search a number
-
+
1348241800 = 23529769497
BaseRepresentation
bin101000001011100…
…1000100110001000
310110221221210001111
41100113020212020
510230122214200
6341441300104
745260603053
oct12027104610
93427853044
101348241800
11632058024
12317634634
13186429019
14cb0bba9a
157d56e0ba
hex505c8988

1348241800 has 48 divisors (see below), whose sum is σ = 3167023860. Its totient is φ = 533729280.

The previous prime is 1348241747. The next prime is 1348241803. The reversal of 1348241800 is 81428431.

It can be written as a sum of positive squares in 6 ways, for example, as 260693316 + 1087548484 = 16146^2 + 32978^2 .

It is not an unprimeable number, because it can be changed into a prime (1348241803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15349 + ... + 54148.

Almost surely, 21348241800 is an apocalyptic number.

1348241800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1348241800 is an abundant number, since it is smaller than the sum of its proper divisors (1818782060).

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

1348241800 is a wasteful number, since it uses less digits than its factorization.

1348241800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69610 (or 69601 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 1348241800 is about 36718.4122750426. The cubic root of 1348241800 is about 1104.7294438033.

The spelling of 1348241800 in words is "one billion, three hundred forty-eight million, two hundred forty-one thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 194 200 388 485 776 970 1940 2425 3880 4850 9700 19400 69497 138994 277988 347485 555976 694970 1389940 1737425 2779880 3474850 6741209 6949700 13482418 13899400 26964836 33706045 53929672 67412090 134824180 168530225 269648360 337060450 674120900 1348241800