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344141248 = 26111632999
BaseRepresentation
bin10100100000110…
…010110111000000
3212222120012001011
4110200302313000
51201100004443
654052050304
711346103153
oct2440626700
9788505034
10344141248
11167293460
1297303994
13563b4599
14339c3c9a
152032cb9d
hex14832dc0

344141248 has 56 divisors (see below), whose sum is σ = 749808000. Its totient is φ = 155416320.

The previous prime is 344141227. The next prime is 344141263. The reversal of 344141248 is 842141443.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 113253 + ... + 116251.

Almost surely, 2344141248 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 344141248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374904000).

344141248 is an abundant number, since it is smaller than the sum of its proper divisors (405666752).

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

344141248 is a wasteful number, since it uses less digits than its factorization.

344141248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3185 (or 3175 counting only the distinct ones).

The product of its digits is 12288, while the sum is 31.

The square root of 344141248 is about 18551.0443910848. The cubic root of 344141248 is about 700.7754997238.

The spelling of 344141248 in words is "three hundred forty-four million, one hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 163 176 326 352 652 704 1304 1793 2608 2999 3586 5216 5998 7172 10432 11996 14344 23992 28688 32989 47984 57376 65978 95968 114752 131956 191936 263912 488837 527824 977674 1055648 1955348 2111296 3910696 5377207 7821392 10754414 15642784 21508828 31285568 43017656 86035312 172070624 344141248