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341376000 = 2103537127
BaseRepresentation
bin10100010110001…
…111110000000000
3212210100200211120
4110112033300000
51144343013000
653512512240
711313435210
oct2426176000
9783320746
10341376000
11165774929
12963ab680
1355956a44
14334a4240
151ee836a0
hex1458fc00

341376000 has 352 divisors, whose sum is σ = 1307983872. Its totient is φ = 77414400.

The previous prime is 341375977. The next prime is 341376017. The reversal of 341376000 is 673143.

341376000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2687937 + ... + 2688063.

Almost surely, 2341376000 is an apocalyptic number.

341376000 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 341376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653991936).

341376000 is an abundant number, since it is smaller than the sum of its proper divisors (966607872).

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

341376000 is a wasteful number, since it uses less digits than its factorization.

341376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 341376000 is about 18476.3632785243. The cubic root of 341376000 is about 698.8934899246.

The spelling of 341376000 in words is "three hundred forty-one million, three hundred seventy-six thousand".