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342421200 = 243252118647
BaseRepresentation
bin10100011010001…
…110111011010000
3212212022210120200
4110122032323100
51200124434300
653551135200
711325350352
oct2432167320
9785283520
10342421200
11166319130
1296814500
1355c316c4
14336970d2
15200dd200
hex1468eed0

342421200 has 180 divisors, whose sum is σ = 1296473568. Its totient is φ = 83001600.

The previous prime is 342421193. The next prime is 342421207. The reversal of 342421200 is 2124243.

342421200 is a `hidden beast` number, since 3 + 42 + 421 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (342421193) and next prime (342421207).

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342421207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35277 + ... + 43923.

Almost surely, 2342421200 is an apocalyptic number.

342421200 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 342421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648236784).

342421200 is an abundant number, since it is smaller than the sum of its proper divisors (954052368).

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

342421200 is a wasteful number, since it uses less digits than its factorization.

342421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8682 (or 8668 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 342421200 is about 18504.6264485398. The cubic root of 342421200 is about 699.6060368207.

Adding to 342421200 its reverse (2124243), we get a palindrome (344545443).

The spelling of 342421200 in words is "three hundred forty-two million, four hundred twenty-one thousand, two hundred".