Search a number
-
+
344030431408 = 24239255135267
BaseRepresentation
bin1010000000110011100…
…11111100100010110000
31012220000001221200201221
411000121303330202300
521114033242301113
6422013450034424
733566252263126
oct5003163744260
91186001850657
10344030431408
111229a2234094
1256813118a14
1326598bc9011
1412918b05916
158e37e2c98d
hex5019cfc8b0

344030431408 has 40 divisors (see below), whose sum is σ = 669629283840. Its totient is φ = 171223483200.

The previous prime is 344030431403. The next prime is 344030431457. The reversal of 344030431408 is 804134030443.

It is a super-3 number, since 3×3440304314083 (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (344030431403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9737391 + ... + 9772657.

It is an arithmetic number, because the mean of its divisors is an integer number (16740732096).

Almost surely, 2344030431408 is an apocalyptic number.

It is an amenable number.

344030431408 is a deficient number, since it is larger than the sum of its proper divisors (325598852432).

344030431408 is a wasteful number, since it uses less digits than its factorization.

344030431408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38065 (or 38059 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The spelling of 344030431408 in words is "three hundred forty-four billion, thirty million, four hundred thirty-one thousand, four hundred eight".

Divisors: 1 2 4 8 16 239 478 956 1912 2551 3824 5102 10204 20408 35267 40816 70534 141068 282136 564272 609689 1219378 2438756 4877512 8428813 9755024 16857626 33715252 67430504 89966117 134861008 179932234 359864468 719728936 1439457872 21501901963 43003803926 86007607852 172015215704 344030431408