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341430213312 = 26335922714753
BaseRepresentation
bin1001111011111101101…
…00111001101011000000
31012122021212011221002000
410331332310321223000
521043222113311222
6420503442224000
733444646633266
oct4757664715300
91178255157060
10341430213312
111218884aa811
1256208355000
13262732aaa26
141274d648436
158d34a079ac
hex4f7ed39ac0

341430213312 has 224 divisors, whose sum is σ = 1025320377600. Its totient is φ = 111380668416.

The previous prime is 341430213307. The next prime is 341430213343. The reversal of 341430213312 is 213312034143.

It is a happy number.

341430213312 is a `hidden beast` number, since 3 + 4 + 1 + 430 + 213 + 3 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23135728 + ... + 23150480.

Almost surely, 2341430213312 is an apocalyptic number.

341430213312 is a gapful number since it is divisible by the number (32) 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 341430213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512660188800).

341430213312 is an abundant number, since it is smaller than the sum of its proper divisors (683890164288).

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

341430213312 is a wasteful number, since it uses less digits than its factorization.

341430213312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15060 (or 15044 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 341430213312 its reverse (213312034143), we get a palindrome (554742247455).

The spelling of 341430213312 in words is "three hundred forty-one billion, four hundred thirty million, two hundred thirteen thousand, three hundred twelve".