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343993896 = 233216329311
BaseRepresentation
bin10100100000001…
…110111000101000
3212222021200220200
4110200032320220
51201030301041
654044552200
711344620441
oct2440167050
9788250820
10343993896
111671a2784
1297252660
13563624ac
14339862c8
15202ee1b6
hex1480ee28

343993896 has 48 divisors (see below), whose sum is σ = 937397760. Its totient is φ = 113957280.

The previous prime is 343993891. The next prime is 343993901. The reversal of 343993896 is 698399343.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (343993891) and next prime (343993901).

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

It is not an unprimeable number, because it can be changed into a prime (343993891) 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 11 ways as a sum of consecutive naturals, for example, 2920 + ... + 26391.

It is an arithmetic number, because the mean of its divisors is an integer number (19529120).

Almost surely, 2343993896 is an apocalyptic number.

343993896 is a gapful number since it is divisible by the number (36) 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 343993896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468698880).

343993896 is an abundant number, since it is smaller than the sum of its proper divisors (593403864).

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

343993896 is a wasteful number, since it uses less digits than its factorization.

343993896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29486 (or 29479 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 54.

The square root of 343993896 is about 18547.0724374495. The cubic root of 343993896 is about 700.6754677230.

The spelling of 343993896 in words is "three hundred forty-three million, nine hundred ninety-three thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 163 326 489 652 978 1304 1467 1956 2934 3912 5868 11736 29311 58622 87933 117244 175866 234488 263799 351732 527598 703464 1055196 2110392 4777693 9555386 14333079 19110772 28666158 38221544 42999237 57332316 85998474 114664632 171996948 343993896