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344052928 = 2683239271
BaseRepresentation
bin10100100000011…
…101010011000000
3212222101200220001
4110200131103000
51201034143203
654050125344
711345254522
oct2440352300
9788350801
10344052928
1116723306a
1297280854
135638331b
143399da12
152031191d
hex1481d4c0

344052928 has 56 divisors (see below), whose sum is σ = 696407040. Its totient is φ = 168618240.

The previous prime is 344052923. The next prime is 344052937. The reversal of 344052928 is 829250443.

It is a happy number.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (344052923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1269433 + ... + 1269703.

It is an arithmetic number, because the mean of its divisors is an integer number (12435840).

Almost surely, 2344052928 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 344052928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348203520).

344052928 is an abundant number, since it is smaller than the sum of its proper divisors (352354112).

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

344052928 is a wasteful number, since it uses less digits than its factorization.

344052928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 344052928 is about 18548.6637793670. The cubic root of 344052928 is about 700.7155458648.

The spelling of 344052928 in words is "three hundred forty-four million, fifty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 83 166 239 271 332 478 542 664 956 1084 1328 1912 2168 2656 3824 4336 5312 7648 8672 15296 17344 19837 22493 39674 44986 64769 79348 89972 129538 158696 179944 259076 317392 359888 518152 634784 719776 1036304 1269568 1439552 2072608 4145216 5375827 10751654 21503308 43006616 86013232 172026464 344052928