Search a number
-
+
1344693800 = 235210166569
BaseRepresentation
bin101000000100110…
…0110011000101000
310110201021112010002
41100021212120220
510223220200200
6341233242132
745215465042
oct12011463050
93421245102
101344693800
1163005439a
12316403348
13185786108
14ca836a92
157d0bcbd5
hex50266628

1344693800 has 48 divisors (see below), whose sum is σ = 3157415100. Its totient is φ = 532544000.

The previous prime is 1344693797. The next prime is 1344693803. The reversal of 1344693800 is 83964431.

It is an interprime number because it is at equal distance from previous prime (1344693797) and next prime (1344693803).

It can be written as a sum of positive squares in 6 ways, for example, as 486555364 + 858138436 = 22058^2 + 29294^2 .

It is not an unprimeable number, because it can be changed into a prime (1344693803) 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, 13085 + ... + 53484.

Almost surely, 21344693800 is an apocalyptic number.

1344693800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1344693800 is an abundant number, since it is smaller than the sum of its proper divisors (1812721300).

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

1344693800 is a wasteful number, since it uses less digits than its factorization.

1344693800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66686 (or 66677 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 1344693800 is about 36670.0668120471. The cubic root of 1344693800 is about 1103.7595328853.

The spelling of 1344693800 in words is "one billion, three hundred forty-four million, six hundred ninety-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 505 808 1010 2020 2525 4040 5050 10100 20200 66569 133138 266276 332845 532552 665690 1331380 1664225 2662760 3328450 6656900 6723469 13313800 13446938 26893876 33617345 53787752 67234690 134469380 168086725 268938760 336173450 672346900 1344693800