Search a number
-
+
1340300032 = 2826919463
BaseRepresentation
bin100111111100011…
…0101101100000000
310110102000021222221
41033320311230000
510221104100112
6340555140424
745133235161
oct11770655400
93412007887
101340300032
11628623285
12314a44714
131848a8256
14ca011768
157ca00e07
hex4fe35b00

1340300032 has 36 divisors (see below), whose sum is σ = 2685448080. Its totient is φ = 667624448.

The previous prime is 1340300023. The next prime is 1340300057. The reversal of 1340300032 is 2300030431.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1340299979 and 1340300015.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59133 + ... + 78595.

It is an arithmetic number, because the mean of its divisors is an integer number (74595780).

Almost surely, 21340300032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342724040).

1340300032 is an abundant number, since it is smaller than the sum of its proper divisors (1345148048).

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

1340300032 is an equidigital number, since it uses as much as digits as its factorization.

1340300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19748 (or 19734 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 1340300032 is about 36610.1083308968. The cubic root of 1340300032 is about 1102.5560482473.

Adding to 1340300032 its reverse (2300030431), we get a palindrome (3640330463).

The spelling of 1340300032 in words is "one billion, three hundred forty million, three hundred thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 269 538 1076 2152 4304 8608 17216 19463 34432 38926 68864 77852 155704 311408 622816 1245632 2491264 4982528 5235547 10471094 20942188 41884376 83768752 167537504 335075008 670150016 1340300032