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343327680 = 2633579503
BaseRepresentation
bin10100011101101…
…100001111000000
3212221000212001000
4110131230033000
51200342441210
654022412000
711336144223
oct2435541700
9787025030
10343327680
11166888193
1296b91000
135618b197
14338515ba
152021bac0
hex1476c3c0

343327680 has 224 divisors, whose sum is σ = 1228953600. Its totient is φ = 90215424.

The previous prime is 343327679. The next prime is 343327681. The reversal of 343327680 is 86723343.

It is an interprime number because it is at equal distance from previous prime (343327679) and next prime (343327681).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343327681) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 682309 + ... + 682811.

It is an arithmetic number, because the mean of its divisors is an integer number (5486400).

Almost surely, 2343327680 is an apocalyptic number.

343327680 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 343327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614476800).

343327680 is an abundant number, since it is smaller than the sum of its proper divisors (885625920).

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

343327680 is a wasteful number, since it uses less digits than its factorization.

343327680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 343327680 is about 18529.1035940760. The cubic root of 343327680 is about 700.2228406172. Note that the first 3 decimals are identical.

It can be divided in two parts, 3433 and 27680, that added together give a palindrome (31113).

The spelling of 343327680 in words is "three hundred forty-three million, three hundred twenty-seven thousand, six hundred eighty".