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344420124 = 2232329371163
BaseRepresentation
bin10100100001110…
…110111100011100
3220000002100120220
4110201312330130
51201132420444
654102041340
711351344206
oct2441667434
9800070526
10344420124
11167463a34
1297419250
13564814b9
1433a57776
1520385619
hex14876f1c

344420124 has 96 divisors (see below), whose sum is σ = 891717120. Its totient is φ = 103074048.

The previous prime is 344420123. The next prime is 344420159. The reversal of 344420124 is 421024443.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 344420094 and 344420103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344420123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295567 + ... + 296729.

It is an arithmetic number, because the mean of its divisors is an integer number (9288720).

Almost surely, 2344420124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344420124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445858560).

344420124 is an abundant number, since it is smaller than the sum of its proper divisors (547296996).

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

344420124 is a wasteful number, since it uses less digits than its factorization.

344420124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 344420124 is about 18558.5593190851. The cubic root of 344420124 is about 700.9647405313.

Adding to 344420124 its reverse (421024443), we get a palindrome (765444567).

The spelling of 344420124 in words is "three hundred forty-four million, four hundred twenty thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 23 29 37 46 58 69 74 87 92 111 116 138 148 174 222 276 348 444 667 851 1073 1163 1334 1702 2001 2146 2326 2553 2668 3219 3404 3489 4002 4292 4652 5106 6438 6978 8004 10212 12876 13956 24679 26749 33727 43031 49358 53498 67454 74037 80247 86062 98716 101181 106996 129093 134908 148074 160494 172124 202362 258186 296148 320988 404724 516372 775721 989713 1247899 1551442 1979426 2327163 2495798 2969139 3102884 3743697 3958852 4654326 4991596 5938278 7487394 9308652 11876556 14974788 28701677 57403354 86105031 114806708 172210062 344420124