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343142100 = 2232527231251
BaseRepresentation
bin10100011100111…
…110111011010100
3212220200102110200
4110130332323110
51200321021400
654014420500
711334442200
oct2434767324
9786612420
10343142100
11166770814
1296b01730
1356124882
1433803b00
15201d1b00
hex1473eed4

343142100 has 324 divisors, whose sum is σ = 1296667008. Its totient is φ = 75600000.

The previous prime is 343142089. The next prime is 343142101. The reversal of 343142100 is 1241343.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343142101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1366975 + ... + 1367225.

Almost surely, 2343142100 is an apocalyptic number.

343142100 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 343142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648333504).

343142100 is an abundant number, since it is smaller than the sum of its proper divisors (953524908).

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

343142100 is a wasteful number, since it uses less digits than its factorization.

343142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 343142100 is about 18524.0951196003. The cubic root of 343142100 is about 700.0966533205.

Adding to 343142100 its reverse (1241343), we get a palindrome (344383443).

The spelling of 343142100 in words is "three hundred forty-three million, one hundred forty-two thousand, one hundred".