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341424000 = 2732532371
BaseRepresentation
bin10100010110011…
…011011110000000
3212210110010200100
4110112123132000
51144401032000
653513522400
711314025151
oct2426333600
9783403610
10341424000
111657a79a5
1296413400
1355972848
14334b7928
151ee92a00
hex1459b780

341424000 has 192 divisors, whose sum is σ = 1226656080. Its totient is φ = 91008000.

The previous prime is 341423981. The next prime is 341424011. The reversal of 341424000 is 424143.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142815 + ... + 145185.

Almost surely, 2341424000 is an apocalyptic number.

341424000 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 341424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613328040).

341424000 is an abundant number, since it is smaller than the sum of its proper divisors (885232080).

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

341424000 is a wasteful number, since it uses less digits than its factorization.

341424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2381 counting only the distinct ones).

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

The square root of 341424000 is about 18477.6621897901. The cubic root of 341424000 is about 698.9262449273.

Adding to 341424000 its reverse (424143), we get a palindrome (341848143).

The spelling of 341424000 in words is "three hundred forty-one million, four hundred twenty-four thousand".