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34489328 = 24172337149
BaseRepresentation
bin1000001110010…
…0001111110000
32101220020110112
42003210033300
532312124303
63231120452
7566103656
oct203441760
971806415
1034489328
1118517385
12b673128
1371b74b3
14481add6
1530640d8
hex20e43f0

34489328 has 80 divisors (see below), whose sum is σ = 76334400. Its totient is φ = 15003648.

The previous prime is 34489327. The next prime is 34489363. The reversal of 34489328 is 82398443.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34489321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 231398 + ... + 231546.

It is an arithmetic number, because the mean of its divisors is an integer number (954180).

Almost surely, 234489328 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 34489328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38167200).

34489328 is an abundant number, since it is smaller than the sum of its proper divisors (41845072).

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

34489328 is a wasteful number, since it uses less digits than its factorization.

34489328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 228 counting only the distinct ones).

The product of its digits is 165888, while the sum is 41.

The square root of 34489328 is about 5872.7615310006. The cubic root of 34489328 is about 325.5079331685.

The spelling of 34489328 in words is "thirty-four million, four hundred eighty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 17 23 34 37 46 68 74 92 136 148 149 184 272 296 298 368 391 592 596 629 782 851 1192 1258 1564 1702 2384 2516 2533 3128 3404 3427 5032 5066 5513 6256 6808 6854 10064 10132 11026 13616 13708 14467 20264 22052 27416 28934 40528 44104 54832 57868 58259 88208 93721 115736 116518 126799 187442 231472 233036 253598 374884 466072 507196 749768 932144 1014392 1499536 2028784 2155583 4311166 8622332 17244664 34489328