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343354440 = 23351121317107
BaseRepresentation
bin10100011101110…
…010110001001000
3212221002012202010
4110131302301020
51200344320230
654023135520
711336315232
oct2435626110
9787065663
10343354440
111668a6300
1296ba45a0
135619a410
143385b252
15202249b0
hex14772c48

343354440 has 384 divisors, whose sum is σ = 1303102080. Its totient is φ = 71639040.

The previous prime is 343354439. The next prime is 343354477. The reversal of 343354440 is 44453343.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 343354398 and 343354407.

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 95 ways as a sum of consecutive naturals, for example, 3208867 + ... + 3208973.

It is an arithmetic number, because the mean of its divisors is an integer number (3393495).

Almost surely, 2343354440 is an apocalyptic number.

343354440 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 343354440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651551040).

343354440 is an abundant number, since it is smaller than the sum of its proper divisors (959747640).

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

343354440 is a wasteful number, since it uses less digits than its factorization.

343354440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

The square root of 343354440 is about 18529.8256872535. The cubic root of 343354440 is about 700.2410326414.

The spelling of 343354440 in words is "three hundred forty-three million, three hundred fifty-four thousand, four hundred forty".