Search a number
-
+
1343231400 = 233527319817
BaseRepresentation
bin101000000010000…
…0001010110101000
310110121112020002010
41100010001112220
510222331401100
6341142035520
745200164350
oct12004012650
93417466063
101343231400
1162a2456a5
12315a18ba0
131853935a4
14ca575b60
157cdce750
hex501015a8

1343231400 has 96 divisors (see below), whose sum is σ = 4758891840. Its totient is φ = 307023360.

The previous prime is 1343231389. The next prime is 1343231401. The reversal of 1343231400 is 41323431.

1343231400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1343231401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155709 + ... + 164108.

It is an arithmetic number, because the mean of its divisors is an integer number (49571790).

Almost surely, 21343231400 is an apocalyptic number.

1343231400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1343231400 is an abundant number, since it is smaller than the sum of its proper divisors (3415660440).

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

1343231400 is a wasteful number, since it uses less digits than its factorization.

1343231400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319843 (or 319834 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1343231400 is about 36650.1214186256. The cubic root of 1343231400 is about 1103.3592624699.

Adding to 1343231400 its reverse (41323431), we get a palindrome (1384554831).

The spelling of 1343231400 in words is "one billion, three hundred forty-three million, two hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 319817 639634 959451 1279268 1599085 1918902 2238719 2558536 3198170 3837804 4477438 4797255 6396340 6716157 7675608 7995425 8954876 9594510 11193595 12792680 13432314 15990850 17909752 19189020 22387190 23986275 26864628 31981700 33580785 38378040 44774380 47972550 53729256 55967975 63963400 67161570 89548760 95945100 111935950 134323140 167903925 191890200 223871900 268646280 335807850 447743800 671615700 1343231400