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343420202424 = 2331319611019403
BaseRepresentation
bin1001111111101010111…
…00000110110110111000
31012211102112200211221110
410333311130012312320
521111311032434144
6421433130440320
733545162361645
oct4776534066670
91184375624843
10343420202424
1112270982a012
12566828930a0
13264cc65b590
141289ba58dcc
158dee58e0b9
hex4ff5706db8

343420202424 has 256 divisors, whose sum is σ = 999111052800. Its totient is φ = 97479936000.

The previous prime is 343420202371. The next prime is 343420202479. The reversal of 343420202424 is 424202024343.

It is a super-2 number, since 2×3434202024242 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 343420202391 and 343420202400.

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 63 ways as a sum of consecutive naturals, for example, 36517707 + ... + 36527109.

It is an arithmetic number, because the mean of its divisors is an integer number (3902777550).

Almost surely, 2343420202424 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 343420202424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499555526400).

343420202424 is an abundant number, since it is smaller than the sum of its proper divisors (655690850376).

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

343420202424 is a wasteful number, since it uses less digits than its factorization.

343420202424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9606 (or 9602 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 343420202424 its reverse (424202024343), we get a palindrome (767622226767).

The spelling of 343420202424 in words is "three hundred forty-three billion, four hundred twenty million, two hundred two thousand, four hundred twenty-four".