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341221344 = 25315123539
BaseRepresentation
bin10100010101101…
…001111111100000
3212210001211200120
4110111221333200
51144323040334
653505320240
711312222262
oct2425517740
9783054616
10341221344
11165679712
1296336080
1355901529
1433463b32
151ee52949
hex14569fe0

341221344 has 48 divisors (see below), whose sum is σ = 901676160. Its totient is φ = 112982400.

The previous prime is 341221327. The next prime is 341221369. The reversal of 341221344 is 443122143.

341221344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2727 + ... + 26265.

It is an arithmetic number, because the mean of its divisors is an integer number (18784920).

Almost surely, 2341221344 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 341221344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450838080).

341221344 is an abundant number, since it is smaller than the sum of its proper divisors (560454816).

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

341221344 is a wasteful number, since it uses less digits than its factorization.

341221344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23703 (or 23695 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 341221344 is about 18472.1775651925. The cubic root of 341221344 is about 698.7879324178.

Adding to 341221344 its reverse (443122143), we get a palindrome (784343487).

The spelling of 341221344 in words is "three hundred forty-one million, two hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 151 302 453 604 906 1208 1812 2416 3624 4832 7248 14496 23539 47078 70617 94156 141234 188312 282468 376624 564936 753248 1129872 2259744 3554389 7108778 10663167 14217556 21326334 28435112 42652668 56870224 85305336 113740448 170610672 341221344