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344301014031 = 313731012834231
BaseRepresentation
bin1010000001010011111…
…00001000110000001111
31012220200221002201022120
411000221330020300033
521120112024422111
6422100353344023
733606046221552
oct5005174106017
91186627081276
10344301014031
11123020a45897
1256889868013
132660cc97090
1412942a1c699
158e51a7a406
hex5029f08c0f

344301014031 has 64 divisors (see below), whose sum is σ = 508023634944. Its totient is φ = 206126208000.

The previous prime is 344301014027. The next prime is 344301014051. The reversal of 344301014031 is 130410103443.

It is not a de Polignac number, because 344301014031 - 22 = 344301014027 is a prime.

It is a super-2 number, since 2×3443010140312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 344301013992 and 344301014010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344301014051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81373686 + ... + 81377916.

It is an arithmetic number, because the mean of its divisors is an integer number (7937869296).

Almost surely, 2344301014031 is an apocalyptic number.

344301014031 is a deficient number, since it is larger than the sum of its proper divisors (163722620913).

344301014031 is a wasteful number, since it uses less digits than its factorization.

344301014031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4704.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 344301014031 its reverse (130410103443), we get a palindrome (474711117474).

The spelling of 344301014031 in words is "three hundred forty-four billion, three hundred one million, fourteen thousand, thirty-one".

Divisors: 1 3 13 39 73 101 219 283 303 849 949 1313 2847 3679 3939 4231 7373 11037 12693 20659 22119 28583 55003 61977 85749 95849 165009 268567 287547 308863 371579 427331 805701 926589 1114737 1197373 1281993 2086559 3592119 4015219 5555303 6259677 12045657 15565849 16665909 27125267 31195163 46697547 81375801 87408229 93585489 120934673 262224687 362804019 405537119 1136306977 1216611357 1572150749 3408920931 4716452247 8828231129 26484693387 114767004677 344301014031