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343381248 = 2833747151
BaseRepresentation
bin10100011101111…
…001010100000000
3212221010120112000
4110131321110000
51200401144443
654023504000
711336456340
oct2435712400
9787116460
10343381248
11166914461
1296bb8000
13561a9692
1433866d20
152022c8d3
hex14779500

343381248 has 288 divisors, whose sum is σ = 1193041920. Its totient is φ = 95385600.

The previous prime is 343381219. The next prime is 343381271. The reversal of 343381248 is 842183343.

It is a happy number.

343381248 is a `hidden beast` number, since 34 + 3 + 381 + 248 = 666.

343381248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2273973 + ... + 2274123.

Almost surely, 2343381248 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 343381248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596520960).

343381248 is an abundant number, since it is smaller than the sum of its proper divisors (849660672).

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

343381248 is a wasteful number, since it uses less digits than its factorization.

343381248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 210 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 343381248 is about 18530.5490474513. The cubic root of 343381248 is about 700.2592563493.

It can be divided in two parts, 3433 and 81248, that added together give a square (84681 = 2912).

The spelling of 343381248 in words is "three hundred forty-three million, three hundred eighty-one thousand, two hundred forty-eight".