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344252128 = 25118311783
BaseRepresentation
bin10100100001001…
…101111011100000
3212222202211010211
4110201031323200
51201112032003
654054303504
711350044343
oct2441157340
9788684124
10344252128
111673597a0
1297357b94
1356422bac
1433a1245a
152035096d
hex1484dee0

344252128 has 48 divisors (see below), whose sum is σ = 748331136. Its totient is φ = 154579840.

The previous prime is 344252101. The next prime is 344252171. The reversal of 344252128 is 821252443.

It is a self number, because there is not a number n which added to its sum of digits gives 344252128.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23325 + ... + 35107.

It is an arithmetic number, because the mean of its divisors is an integer number (15590232).

Almost surely, 2344252128 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 344252128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374165568).

344252128 is an abundant number, since it is smaller than the sum of its proper divisors (404079008).

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

344252128 is a wasteful number, since it uses less digits than its factorization.

344252128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11887 (or 11879 counting only the distinct ones).

The product of its digits is 15360, while the sum is 31.

The square root of 344252128 is about 18554.0326613920. The cubic root of 344252128 is about 700.8507533630.

The spelling of 344252128 in words is "three hundred forty-four million, two hundred fifty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 83 88 166 176 332 352 664 913 1328 1826 2656 3652 7304 11783 14608 23566 29216 47132 94264 129613 188528 259226 377056 518452 977989 1036904 1955978 2073808 3911956 4147616 7823912 10757879 15647824 21515758 31295648 43031516 86063032 172126064 344252128