Search a number
-
+
1353739818 = 2317711071747
BaseRepresentation
bin101000010110000…
…0110111000101010
310111100022002220210
41100230012320222
510233024133233
6342155201550
745355412214
oct12054067052
93440262823
101353739818
11635172842
123194462b6
131876026a2
14cbb0d5b4
157dca8163
hex50b06e2a

1353739818 has 64 divisors (see below), whose sum is σ = 2935968768. Its totient is φ = 414570240.

The previous prime is 1353739811. The next prime is 1353739841. The reversal of 1353739818 is 8189373531.

It is a super-2 number, since 2×13537398182 = 3665222989677346248, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (1353739811) 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 31 ways as a sum of consecutive naturals, for example, 774021 + ... + 775767.

It is an arithmetic number, because the mean of its divisors is an integer number (45874512).

Almost surely, 21353739818 is an apocalyptic number.

1353739818 is an abundant number, since it is smaller than the sum of its proper divisors (1582228950).

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

1353739818 is a wasteful number, since it uses less digits than its factorization.

1353739818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947.

The product of its digits is 544320, while the sum is 48.

The square root of 1353739818 is about 36793.2034212842. The cubic root of 1353739818 is about 1106.2290721439.

The spelling of 1353739818 in words is "one billion, three hundred fifty-three million, seven hundred thirty-nine thousand, eight hundred eighteen".

Divisors: 1 2 3 6 17 34 51 71 102 107 142 213 214 321 426 642 1207 1747 1819 2414 3494 3621 3638 5241 5457 7242 7597 10482 10914 15194 22791 29699 45582 59398 89097 124037 129149 178194 186929 248074 258298 372111 373858 387447 560787 744222 774894 1121574 2108629 3177793 4217258 6325887 6355586 9533379 12651774 13271959 19066758 26543918 39815877 79631754 225623303 451246606 676869909 1353739818