Search a number
-
+
1348242129 = 321323501019
BaseRepresentation
bin101000001011100…
…1000101011010001
310110221221210111200
41100113020223101
510230122222004
6341441301413
745260604033
oct12027105321
93427853450
101348242129
116320582a3
12317634869
13186429210
14cb0bbc53
157d56e239
hex505c8ad1

1348242129 has 24 divisors (see below), whose sum is σ = 2188455360. Its totient is φ = 793612512.

The previous prime is 1348242127. The next prime is 1348242131. The reversal of 1348242129 is 9212428431.

1348242129 is a `hidden beast` number, since 13 + 482 + 42 + 129 = 666.

It is an interprime number because it is at equal distance from previous prime (1348242127) and next prime (1348242131).

It is not a de Polignac number, because 1348242129 - 21 = 1348242127 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1348242093 and 1348242102.

It is not an unprimeable number, because it can be changed into a prime (1348242127) 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, 247819 + ... + 253200.

It is an arithmetic number, because the mean of its divisors is an integer number (91185640).

Almost surely, 21348242129 is an apocalyptic number.

It is an amenable number.

1348242129 is a deficient number, since it is larger than the sum of its proper divisors (840213231).

1348242129 is a wasteful number, since it uses less digits than its factorization.

1348242129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501061 (or 501058 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 1348242129 is about 36718.4167550835. The cubic root of 1348242129 is about 1104.7295336625.

It can be divided in two parts, 13482 and 42129, that added together give a triangular number (55611 = T333).

The spelling of 1348242129 in words is "one billion, three hundred forty-eight million, two hundred forty-two thousand, one hundred twenty-nine".

Divisors: 1 3 9 13 23 39 69 117 207 299 897 2691 501019 1503057 4509171 6513247 11523437 19539741 34570311 58619223 103710933 149804681 449414043 1348242129