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344204320 = 2558325919
BaseRepresentation
bin10100100001000…
…010010000100000
3212222200101120011
4110201002100200
51201104014240
654053254304
711346455065
oct2441022040
9788611504
10344204320
11167326889
1297334394
13564071c5
14339dcc6c
15203416ea
hex14842420

344204320 has 48 divisors (see below), whose sum is σ = 823011840. Its totient is φ = 136017664.

The previous prime is 344204309. The next prime is 344204327. The reversal of 344204320 is 23402443.

It is a super-2 number, since 2×3442043202 = 236953227813324800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 344204291 and 344204300.

It is not an unprimeable number, because it can be changed into a prime (344204327) 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 7 ways as a sum of consecutive naturals, for example, 321 + ... + 26239.

It is an arithmetic number, because the mean of its divisors is an integer number (17146080).

Almost surely, 2344204320 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 344204320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411505920).

344204320 is an abundant number, since it is smaller than the sum of its proper divisors (478807520).

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

344204320 is a wasteful number, since it uses less digits than its factorization.

344204320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26017 (or 26009 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 344204320 is about 18552.7442714009. The cubic root of 344204320 is about 700.8183083212.

Adding to 344204320 its reverse (23402443), we get a palindrome (367606763).

The spelling of 344204320 in words is "three hundred forty-four million, two hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 83 160 166 332 415 664 830 1328 1660 2656 3320 6640 13280 25919 51838 103676 129595 207352 259190 414704 518380 829408 1036760 2073520 2151277 4147040 4302554 8605108 10756385 17210216 21512770 34420432 43025540 68840864 86051080 172102160 344204320