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34921344 = 273211431
BaseRepresentation
bin1000010100110…
…1101110000000
32102201012002010
42011031232000
532414440334
63244252520
7602553333
oct205155600
972635063
1034921344
1118791a17
12b841140
137309023
1448d061a
1530ec0e9
hex214db80

34921344 has 64 divisors (see below), whose sum is σ = 93415680. Its totient is φ = 11558400.

The previous prime is 34921343. The next prime is 34921357. The reversal of 34921344 is 44312943.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34921343) 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, 80809 + ... + 81239.

It is an arithmetic number, because the mean of its divisors is an integer number (1459620).

Almost surely, 234921344 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 34921344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46707840).

34921344 is an abundant number, since it is smaller than the sum of its proper divisors (58494336).

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

34921344 is a wasteful number, since it uses less digits than its factorization.

34921344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 647 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 34921344 is about 5909.4283987540. The cubic root of 34921344 is about 326.8614100959.

The spelling of 34921344 in words is "thirty-four million, nine hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 211 384 422 431 633 844 862 1266 1293 1688 1724 2532 2586 3376 3448 5064 5172 6752 6896 10128 10344 13504 13792 20256 20688 27008 27584 40512 41376 55168 81024 82752 90941 165504 181882 272823 363764 545646 727528 1091292 1455056 2182584 2910112 4365168 5820224 8730336 11640448 17460672 34921344