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343200832 = 26134110061
BaseRepresentation
bin10100011101001…
…101010001000000
3212220210102000221
4110131031101000
51200324411312
654015552424
711335105342
oct2435152100
9786712027
10343200832
11166800957
1296b2b714
1356145520
143381b292
15201e4207
hex1474d440

343200832 has 56 divisors (see below), whose sum is σ = 751389912. Its totient is φ = 154521600.

The previous prime is 343200829. The next prime is 343200853. The reversal of 343200832 is 238002343.

It can be written as a sum of positive squares in 4 ways, for example, as 802816 + 342398016 = 896^2 + 18504^2 .

It is a super-2 number, since 2×3432008322 = 235573622170984448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 343200797 and 343200806.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 29082 + ... + 39142.

It is an arithmetic number, because the mean of its divisors is an integer number (13417677).

Almost surely, 2343200832 is an apocalyptic number.

343200832 is a gapful number since it is divisible by the number (32) 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 343200832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375694956).

343200832 is an abundant number, since it is smaller than the sum of its proper divisors (408189080).

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

343200832 is a wasteful number, since it uses less digits than its factorization.

343200832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10127 (or 10117 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 343200832 is about 18525.6803383843. The cubic root of 343200832 is about 700.1365937524.

The spelling of 343200832 in words is "three hundred forty-three million, two hundred thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 164 208 328 416 533 656 832 1066 1312 2132 2624 4264 8528 10061 17056 20122 34112 40244 80488 130793 160976 261586 321952 412501 523172 643904 825002 1046344 1650004 2092688 3300008 4185376 5362513 6600016 8370752 10725026 13200032 21450052 26400064 42900104 85800208 171600416 343200832