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343828344 = 233433171051
BaseRepresentation
bin10100011111100…
…110011101111000
3212221222021211010
4110133212131320
51201010001334
654041233520
711343330666
oct2437463570
9787867733
10343828344
1116709a362
12971928a0
1356305032
1433941c36
15202ba0e9
hex147e6778

343828344 has 64 divisors (see below), whose sum is σ = 883175040. Its totient is φ = 111484800.

The previous prime is 343828339. The next prime is 343828361. The reversal of 343828344 is 443828343.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326619 + ... + 327669.

It is an arithmetic number, because the mean of its divisors is an integer number (13799610).

Almost surely, 2343828344 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 343828344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441587520).

343828344 is an abundant number, since it is smaller than the sum of its proper divisors (539346696).

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

343828344 is a wasteful number, since it uses less digits than its factorization.

343828344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1416 counting only the distinct ones).

The product of its digits is 221184, while the sum is 39.

The square root of 343828344 is about 18542.6088779330. The cubic root of 343828344 is about 700.5630463109.

Subtracting 343828344 from its reverse (443828343), we obtain a palindrome (99999999).

The spelling of 343828344 in words is "three hundred forty-three million, eight hundred twenty-eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 317 344 516 634 951 1032 1051 1268 1902 2102 2536 3153 3804 4204 6306 7608 8408 12612 13631 25224 27262 40893 45193 54524 81786 90386 109048 135579 163572 180772 271158 327144 333167 361544 542316 666334 999501 1084632 1332668 1999002 2665336 3998004 7996008 14326181 28652362 42978543 57304724 85957086 114609448 171914172 343828344