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344200224 = 25317210907
BaseRepresentation
bin10100100001000…
…001010000100000
3212222200011221110
4110201001100200
51201103401344
654053223320
711346440124
oct2441012040
9788604843
10344200224
111673237a5
1297331b40
1356405394
14339db584
15203403b9
hex14841420

344200224 has 48 divisors (see below), whose sum is σ = 956678688. Its totient is φ = 107983872.

The previous prime is 344200211. The next prime is 344200231. The reversal of 344200224 is 422002443.

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

It is a self number, because there is not a number n which added to its sum of digits gives 344200224.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 103822 + ... + 107085.

It is an arithmetic number, because the mean of its divisors is an integer number (19930806).

Almost surely, 2344200224 is an apocalyptic number.

344200224 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

344200224 is an abundant number, since it is smaller than the sum of its proper divisors (612478464).

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

344200224 is a wasteful number, since it uses less digits than its factorization.

344200224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210937 (or 210929 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 344200224 is about 18552.6338830906. The cubic root of 344200224 is about 700.8155284189.

Adding to 344200224 its reverse (422002443), we get a palindrome (766202667).

The spelling of 344200224 in words is "three hundred forty-four million, two hundred thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 210907 421814 632721 843628 1265442 1687256 2530884 3374512 3585419 5061768 6749024 7170838 10123536 10756257 14341676 20247072 21512514 28683352 43025028 57366704 86050056 114733408 172100112 344200224