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343402420020 = 22351119317312101
BaseRepresentation
bin1001111111101000110…
…00010001011100110100
31012211101022020102001220
410333310120101130310
521111242004420040
6421431253350340
733544555260132
oct4776430213464
91184338212056
10343402420020
111226aa793910
12566789383b0
13264c8a7364a
141289954a752
158decc2a2d0
hex4ff4611734

343402420020 has 384 divisors, whose sum is σ = 1155471851520. Its totient is φ = 75271680000.

The previous prime is 343402419961. The next prime is 343402420111. The reversal of 343402420020 is 20024204343.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28371970 + ... + 28384070.

It is an arithmetic number, because the mean of its divisors is an integer number (3009041280).

Almost surely, 2343402420020 is an apocalyptic number.

343402420020 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 343402420020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577735925760).

343402420020 is an abundant number, since it is smaller than the sum of its proper divisors (812069431500).

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

343402420020 is a wasteful number, since it uses less digits than its factorization.

343402420020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12247 (or 12245 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 343402420020 its reverse (20024204343), we get a palindrome (363426624363).

The spelling of 343402420020 in words is "three hundred forty-three billion, four hundred two million, four hundred twenty thousand, twenty".