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34988000 = 25538747
BaseRepresentation
bin1000010101110…
…1111111100000
32102211120111212
42011131333200
532424104000
63245525252
7603251555
oct205357740
972746455
1034988000
1118828003
12b873828
137330478
14490aa2c
153111c35
hex215dfe0

34988000 has 48 divisors (see below), whose sum is σ = 85975344. Its totient is φ = 13993600.

The previous prime is 34987999. The next prime is 34988017. The reversal of 34988000 is 88943.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 374 + ... + 8373.

It is an arithmetic number, because the mean of its divisors is an integer number (1791153).

Almost surely, 234988000 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 34988000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42987672).

34988000 is an abundant number, since it is smaller than the sum of its proper divisors (50987344).

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

34988000 is an equidigital number, since it uses as much as digits as its factorization.

34988000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8772 (or 8754 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 34988000 is about 5915.0655110489. The cubic root of 34988000 is about 327.0692431307.

The spelling of 34988000 in words is "thirty-four million, nine hundred eighty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 8747 17494 34988 43735 69976 87470 139952 174940 218675 279904 349880 437350 699760 874700 1093375 1399520 1749400 2186750 3498800 4373500 6997600 8747000 17494000 34988000