Search a number
-
+
342742357665 = 33510912327069
BaseRepresentation
bin1001111110011010000…
…10010101011010100001
31012202200022012202202000
410333031002111122201
521103414020421130
6421241554114213
733522321654111
oct4771502253241
91182608182660
10342742357665
111223a1142234
125651387b969
13264220a85c6
1412835a0b041
158daece6260
hex4fcd0956a1

342742357665 has 32 divisors (see below), whose sum is σ = 609878505600. Its totient is φ = 182628296640.

The previous prime is 342742357663. The next prime is 342742357667. The reversal of 342742357665 is 566753247243.

342742357665 is a `hidden beast` number, since 3 + 4 + 2 + 7 + 4 + 2 + 3 + 576 + 65 = 666.

It is an interprime number because it is at equal distance from previous prime (342742357663) and next prime (342742357667).

It is not a de Polignac number, because 342742357665 - 21 = 342742357663 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (342742357663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1016250 + ... + 1310819.

It is an arithmetic number, because the mean of its divisors is an integer number (19058703300).

Almost surely, 2342742357665 is an apocalyptic number.

It is an amenable number.

342742357665 is a deficient number, since it is larger than the sum of its proper divisors (267136147935).

342742357665 is a wasteful number, since it uses less digits than its factorization.

342742357665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328174 (or 2328168 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 54.

The spelling of 342742357665 in words is "three hundred forty-two billion, seven hundred forty-two million, three hundred fifty-seven thousand, six hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 135 1091 3273 5455 9819 16365 29457 49095 147285 2327069 6981207 11635345 20943621 34906035 62830863 104718105 314154315 2538832279 7616496837 12694161395 22849490511 38082484185 68548471533 114247452555 342742357665