Search a number
-
+
343418268361 = 72837172
BaseRepresentation
bin1001111111101010101…
…00101110101011001001
31012211102102001120220111
410333311110232223021
521111310034041421
6421433021154321
733545140055200
oct4776524565311
91184372046814
10343418268361
11122708728a13
12566820bb9a1
13264cc13216c
141289b6b4237
158dee30aee1
hex4ff552eac9

343418268361 has 9 divisors (see below), whose sum is σ = 399491328999. Its totient is φ = 294354999624.

The previous prime is 343418268359. The next prime is 343418268383. The reversal of 343418268361 is 163862814343.

The square root of 343418268361 is 586019.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 340209725625 + 3208542736 = 583275^2 + 56644^2 .

It is not a de Polignac number, because 343418268361 - 21 = 343418268359 is a prime.

It is a super-2 number, since 2×3434182683612 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (343418268461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4060275 + ... + 4143991.

Almost surely, 2343418268361 is an apocalyptic number.

343418268361 is the 586019-th square number.

343418268361 is the 293010-th centered octagonal number.

It is an amenable number.

343418268361 is a deficient number, since it is larger than the sum of its proper divisors (56073060638).

343418268361 is an frugal number, since it uses more digits than its factorization.

343418268361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167448 (or 83724 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 49.

Multiplying 343418268361 by its sum of digits (49), we get a square (16827495149689 = 41021332).

343418268361 divided by its sum of digits (49) gives a square (7008536089 = 837172).

The spelling of 343418268361 in words is "three hundred forty-three billion, four hundred eighteen million, two hundred sixty-eight thousand, three hundred sixty-one".

Divisors: 1 7 49 83717 586019 4102133 7008536089 49059752623 343418268361