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340404224 = 211347479
BaseRepresentation
bin10100010010100…
…010100000000000
3212201112022210212
4110102202200000
51144120413344
653440013252
711302250066
oct2422424000
9781468725
10340404224
11165170806
1296001228
13556a6624
14332d0036
151ed4079e
hex144a2800

340404224 has 48 divisors (see below), whose sum is σ = 684028800. Its totient is φ = 169357312.

The previous prime is 340404203. The next prime is 340404227. The reversal of 340404224 is 422404043.

It is a super-3 number, since 3×3404042243 (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 340404224.

It is not an unprimeable number, because it can be changed into a prime (340404227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 710417 + ... + 710895.

It is an arithmetic number, because the mean of its divisors is an integer number (14250600).

Almost surely, 2340404224 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 340404224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342014400).

340404224 is an abundant number, since it is smaller than the sum of its proper divisors (343624576).

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

340404224 is an equidigital number, since it uses as much as digits as its factorization.

340404224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 340404224 is about 18450.0467208081. The cubic root of 340404224 is about 698.2296926347.

Adding to 340404224 its reverse (422404043), we get a palindrome (762808267).

The spelling of 340404224 in words is "three hundred forty million, four hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 347 479 512 694 958 1024 1388 1916 2048 2776 3832 5552 7664 11104 15328 22208 30656 44416 61312 88832 122624 166213 177664 245248 332426 355328 490496 664852 710656 980992 1329704 2659408 5318816 10637632 21275264 42550528 85101056 170202112 340404224