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344444072 = 23717221283
BaseRepresentation
bin10100100001111…
…100110010101000
3220000010120102212
4110201330302220
51201134202242
654102344252
711351504060
oct2441746250
9800116385
10344444072
1116747aa25
129742b088
135648c37b
1433a623a0
152038c782
hex1487cca8

344444072 has 48 divisors (see below), whose sum is σ = 784102560. Its totient is φ = 138928896.

The previous prime is 344444071. The next prime is 344444117. The reversal of 344444072 is 270444443.

It is not an unprimeable number, because it can be changed into a prime (344444071) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5543 + ... + 26825.

It is an arithmetic number, because the mean of its divisors is an integer number (16335470).

Almost surely, 2344444072 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 344444072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392051280).

344444072 is an abundant number, since it is smaller than the sum of its proper divisors (439658488).

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

344444072 is a wasteful number, since it uses less digits than its factorization.

344444072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21330 (or 21309 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 32.

The square root of 344444072 is about 18559.2045088145. The cubic root of 344444072 is about 700.9809864990.

The spelling of 344444072 in words is "three hundred forty-four million, four hundred forty-four thousand, seventy-two".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 289 476 578 952 1156 2023 2312 4046 8092 16184 21283 42566 85132 148981 170264 297962 361811 595924 723622 1191848 1447244 2532677 2894488 5065354 6150787 10130708 12301574 20261416 24603148 43055509 49206296 86111018 172222036 344444072