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344132020 = 225171516703
BaseRepresentation
bin10100100000110…
…000100110110100
3212222112201101101
4110200300212310
51201044211040
654051535444
711346034231
oct2440604664
9788481341
10344132020
11167287531
12972ba584
13563b031b
14339c0788
152032a09a
hex148309b4

344132020 has 48 divisors (see below), whose sum is σ = 770370048. Its totient is φ = 128678400.

The previous prime is 344132017. The next prime is 344132029. The reversal of 344132020 is 20231443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344132029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47989 + ... + 54691.

It is an arithmetic number, because the mean of its divisors is an integer number (16049376).

Almost surely, 2344132020 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 344132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385185024).

344132020 is an abundant number, since it is smaller than the sum of its proper divisors (426238028).

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

344132020 is a wasteful number, since it uses less digits than its factorization.

344132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6880 (or 6878 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 344132020 is about 18550.7956702671. The cubic root of 344132020 is about 700.7692360030.

Adding to 344132020 its reverse (20231443), we get a palindrome (364363463).

The spelling of 344132020 in words is "three hundred forty-four million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 151 170 302 340 604 755 1510 2567 3020 5134 6703 10268 12835 13406 25670 26812 33515 51340 67030 113951 134060 227902 455804 569755 1012153 1139510 2024306 2279020 4048612 5060765 10121530 17206601 20243060 34413202 68826404 86033005 172066010 344132020