Search a number
-
+
344410111420 = 2254113127111831
BaseRepresentation
bin1010000001100000111…
…00010011110110111100
31012220222112101102210121
411000300130103312330
521120322442031140
6422115251544324
733611542434004
oct5006034236674
91186875342717
10344410111420
11123077590321
12568ba2bb0a4
132662977464b
14129532db004
158e5b42a64a
hex5030713dbc

344410111420 has 96 divisors (see below), whose sum is σ = 749375649792. Its totient is φ = 132874560000.

The previous prime is 344410111399. The next prime is 344410111429. The reversal of 344410111420 is 24111014443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344410111429) 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, 29104905 + ... + 29116735.

It is an arithmetic number, because the mean of its divisors is an integer number (7805996352).

Almost surely, 2344410111420 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 344410111420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374687824896).

344410111420 is an abundant number, since it is smaller than the sum of its proper divisors (404965538372).

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

344410111420 is a wasteful number, since it uses less digits than its factorization.

344410111420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12283 (or 12281 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 344410111420 its reverse (24111014443), we get a palindrome (368521125863).

The spelling of 344410111420 in words is "three hundred forty-four billion, four hundred ten million, one hundred eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 131 164 205 262 271 410 524 542 655 820 1084 1310 1355 2620 2710 5371 5420 10742 11111 11831 21484 22222 23662 26855 35501 44444 47324 53710 55555 59155 71002 107420 111110 118310 142004 177505 222220 236620 355010 485071 710020 970142 1455541 1549861 1940284 2425355 2911082 3099722 3206201 4850710 5822164 6199444 6412402 7277705 7749305 9701420 12824804 14555410 15498610 16031005 29110820 30997220 32062010 63544301 64124020 127088602 131454241 254177204 262908482 317721505 420012331 525816964 635443010 657271205 840024662 1270886020 1314542410 1680049324 2100061655 2629084820 4200123310 8400246620 17220505571 34441011142 68882022284 86102527855 172205055710 344410111420