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341344413100 = 225231227712823
BaseRepresentation
bin1001111011110011011…
…01100110010110101100
31012122001212201211022101
410331321231212112230
521043033132204400
6420451135224444
733442555432015
oct4757155462654
91178055654271
10341344413100
11121844027849
12561a3678124
132625b599582
14127420b200c
158d2c20a56a
hex4f79b665ac

341344413100 has 108 divisors (see below), whose sum is σ = 768205279632. Its totient is φ = 131646038400.

The previous prime is 341344413079. The next prime is 341344413101. The reversal of 341344413100 is 1314443143.

It is a happy number.

It is a super-2 number, since 2×3413444131002 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (341344413101) 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 35 ways as a sum of consecutive naturals, for example, 26613289 + ... + 26626111.

Almost surely, 2341344413100 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 341344413100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384102639816).

341344413100 is an abundant number, since it is smaller than the sum of its proper divisors (426860866532).

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

341344413100 is a wasteful number, since it uses less digits than its factorization.

341344413100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13176 (or 13138 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 341344413100 its reverse (1314443143), we get a palindrome (342658856243).

The spelling of 341344413100 in words is "three hundred forty-one billion, three hundred forty-four million, four hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 277 310 554 620 775 961 1108 1385 1550 1922 2770 3100 3844 4805 5540 6925 8587 9610 12823 13850 17174 19220 24025 25646 27700 34348 42935 48050 51292 64115 85870 96100 128230 171740 214675 256460 266197 320575 397513 429350 532394 641150 795026 858700 1064788 1282300 1330985 1590052 1987565 2661970 3551971 3975130 5323940 6654925 7103942 7950260 9937825 12322903 13309850 14207884 17759855 19875650 24645806 26619700 35519710 39751300 49291612 61614515 71039420 88799275 110111101 123229030 177598550 220222202 246458060 308072575 355197100 440444404 550555505 616145150 1101111010 1232290300 2202222020 2752777525 3413444131 5505555050 6826888262 11011110100 13653776524 17067220655 34134441310 68268882620 85336103275 170672206550 341344413100