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343842408 = 2334741317
BaseRepresentation
bin10100011111101…
…001111001101000
3212222000000010000
4110133221321220
51201010424113
654041423000
711343420000
oct2437517150
9788000100
10343842408
111670a9988
129719aa60
135630b560
1433947000
15202be373
hex147e9e68

343842408 has 400 divisors, whose sum is σ = 1281121380. Its totient is φ = 85349376.

The previous prime is 343842397. The next prime is 343842419. The reversal of 343842408 is 804248343.

343842408 is a `hidden beast` number, since 34 + 384 + 240 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (343842397) and next prime (343842419).

It can be written as a sum of positive squares in 2 ways, for example, as 343064484 + 777924 = 18522^2 + 882^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 20226016 + ... + 20226032.

Almost surely, 2343842408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343842408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640560690).

343842408 is an abundant number, since it is smaller than the sum of its proper divisors (937278972).

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

343842408 is a wasteful number, since it uses less digits than its factorization.

343842408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 343842408 is about 18542.9881087165. The cubic root of 343842408 is about 700.5725981552.

The spelling of 343842408 in words is "three hundred forty-three million, eight hundred forty-two thousand, four hundred eight".