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341344103100 = 22352711133137991
BaseRepresentation
bin1001111011110011011…
…00011010101010111100
31012122001212011002001220
410331321230122222330
521043033042244400
6420451124433340
733442553001150
oct4757154325274
91178055132056
10341344103100
11121843935950
12561a3548850
132625b4bb440
1412742031060
158d2c1987a0
hex4f79b1aabc

341344103100 has 1152 divisors, whose sum is σ = 1407227265024. Its totient is φ = 61585920000.

The previous prime is 341344103099. The next prime is 341344103117. The reversal of 341344103100 is 1301443143.

It is a super-2 number, since 2×3413441031002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 344443605 + ... + 344444595.

Almost surely, 2341344103100 is an apocalyptic number.

341344103100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341344103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703613632512).

341344103100 is an abundant number, since it is smaller than the sum of its proper divisors (1065883161924).

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

341344103100 is a wasteful number, since it uses less digits than its factorization.

341344103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1100 counting only the distinct ones).

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

Adding to 341344103100 its reverse (1301443143), we get a palindrome (342645546243).

It can be divided in two parts, 341344 and 103100, that added together give a palindrome (444444).

The spelling of 341344103100 in words is "three hundred forty-one billion, three hundred forty-four million, one hundred three thousand, one hundred".