Search a number
-
+
1352542321 = 13217736449
BaseRepresentation
bin101000010011110…
…0010100001110001
310111021001021021001
41100213202201301
510232222323241
6342113402001
745342264034
oct12047424161
93437037231
101352542321
11634525079
12318b69301
131872a3600
14cb8bb01b
157db1d431
hex509e2871

1352542321 has 24 divisors (see below), whose sum is σ = 1572226200. Its totient is φ = 1158782976.

The previous prime is 1352542319. The next prime is 1352542463. The reversal of 1352542321 is 1232452531.

It can be written as a sum of positive squares in 12 ways, for example, as 115261696 + 1237280625 = 10736^2 + 35175^2 .

It is not a de Polignac number, because 1352542321 - 21 = 1352542319 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1352542321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352542621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206505 + ... + 212953.

It is an arithmetic number, because the mean of its divisors is an integer number (65509425).

Almost surely, 21352542321 is an apocalyptic number.

It is an amenable number.

1352542321 is a deficient number, since it is larger than the sum of its proper divisors (219683879).

1352542321 is a wasteful number, since it uses less digits than its factorization.

1352542321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6565 (or 6552 counting only the distinct ones).

The product of its digits is 7200, while the sum is 28.

The square root of 1352542321 is about 36776.9264757130. The cubic root of 1352542321 is about 1105.9027916247.

Adding to 1352542321 its reverse (1232452531), we get a palindrome (2584994852).

The spelling of 1352542321 in words is "one billion, three hundred fifty-two million, five hundred forty-two thousand, three hundred twenty-one".

Divisors: 1 13 17 73 169 221 949 1241 2873 6449 12337 16133 83837 109633 209729 470777 1089881 1425229 6120101 8003209 18527977 79561313 104041717 1352542321