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343809048 = 233115922073
BaseRepresentation
bin10100011111100…
…001110000011000
3212221221022100110
4110133201300120
51201003342143
654041004320
711343220512
oct2437416030
9787838313
10343809048
11167086910
12971836a0
13562c930b
1433938bb2
15202b4533
hex147e1c18

343809048 has 64 divisors (see below), whose sum is σ = 953596800. Its totient is φ = 102414080.

The previous prime is 343809043. The next prime is 343809077. The reversal of 343809048 is 840908343.

It is a super-2 number, since 2×3438090482 = 236409322973332608, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 343808997 and 343809015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343809041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4540 + ... + 26612.

It is an arithmetic number, because the mean of its divisors is an integer number (14899950).

Almost surely, 2343809048 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 343809048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476798400).

343809048 is an abundant number, since it is smaller than the sum of its proper divisors (609787752).

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

343809048 is a wasteful number, since it uses less digits than its factorization.

343809048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22152 (or 22148 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 343809048 is about 18542.0885554999. The cubic root of 343809048 is about 700.5499406264.

The spelling of 343809048 in words is "three hundred forty-three million, eight hundred nine thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 59 66 88 118 132 177 236 264 354 472 649 708 1298 1416 1947 2596 3894 5192 7788 15576 22073 44146 66219 88292 132438 176584 242803 264876 485606 529752 728409 971212 1302307 1456818 1942424 2604614 2913636 3906921 5209228 5827272 7813842 10418456 14325377 15627684 28650754 31255368 42976131 57301508 85952262 114603016 171904524 343809048