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344200304 = 24722915139
BaseRepresentation
bin10100100001000…
…001010001110000
3212222200012001102
4110201001101300
51201103402204
654053223532
711346440300
oct2441012160
9788605042
10344200304
11167323868
1297331ba8
1356405426
14339db600
152034041e
hex14841470

344200304 has 60 divisors (see below), whose sum is σ = 802571400. Its totient is φ = 142418304.

The previous prime is 344200303. The next prime is 344200319. The reversal of 344200304 is 403002443.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344200301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15167 + ... + 30305.

It is an arithmetic number, because the mean of its divisors is an integer number (13376190).

Almost surely, 2344200304 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 344200304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401285700).

344200304 is an abundant number, since it is smaller than the sum of its proper divisors (458371096).

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

344200304 is a wasteful number, since it uses less digits than its factorization.

344200304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15190 (or 15177 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 344200304 is about 18552.6360391185. The cubic root of 344200304 is about 700.8155827140.

Adding to 344200304 its reverse (403002443), we get a palindrome (747202747).

The spelling of 344200304 in words is "three hundred forty-four million, two hundred thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 98 112 116 196 203 232 392 406 464 784 812 1421 1624 2842 3248 5684 11368 15139 22736 30278 60556 105973 121112 211946 242224 423892 439031 741811 847784 878062 1483622 1695568 1756124 2967244 3073217 3512248 5934488 6146434 7024496 11868976 12292868 21512519 24585736 43025038 49171472 86050076 172100152 344200304