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343081440 = 253351341149
BaseRepresentation
bin10100011100110…
…000000111100000
3212220120100021000
4110130300013200
51200312101230
654013232000
711334100302
oct2434600740
9786510230
10343081440
1116672a189
1296a92600
1356103090
14337c9972
15201bdb60
hex147301e0

343081440 has 384 divisors, whose sum is σ = 1333584000. Its totient is φ = 81838080.

The previous prime is 343081429. The next prime is 343081441. The reversal of 343081440 is 44180343.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343081441) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2302486 + ... + 2302634.

It is an arithmetic number, because the mean of its divisors is an integer number (3472875).

Almost surely, 2343081440 is an apocalyptic number.

343081440 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 343081440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666792000).

343081440 is an abundant number, since it is smaller than the sum of its proper divisors (990502560).

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

343081440 is a wasteful number, since it uses less digits than its factorization.

343081440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 343081440 is about 18522.4577202919. The cubic root of 343081440 is about 700.0553969764.

The spelling of 343081440 in words is "three hundred forty-three million, eighty-one thousand, four hundred forty".