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34488108 = 223271103131
BaseRepresentation
bin1000001110001…
…1111100101100
32101220011210100
42003203330230
532312104413
63231111100
7566100264
oct203437454
971804710
1034488108
1118516476
12b672490
1371b6a85
14481a7a4
153063a73
hex20e3f2c

34488108 has 72 divisors (see below), whose sum is σ = 89945856. Its totient is φ = 11138400.

The previous prime is 34488079. The next prime is 34488127. The reversal of 34488108 is 80188443.

34488108 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 263203 + ... + 263333.

It is an arithmetic number, because the mean of its divisors is an integer number (1249248).

Almost surely, 234488108 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 34488108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44972928).

34488108 is an abundant number, since it is smaller than the sum of its proper divisors (55457748).

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

34488108 is a wasteful number, since it uses less digits than its factorization.

34488108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 34488108 is about 5872.6576607189. The cubic root of 34488108 is about 325.5040950308.

It can be divided in two parts, 34488 and 108, that added together give a square (34596 = 1862).

The spelling of 34488108 in words is "thirty-four million, four hundred eighty-eight thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 71 103 131 142 206 213 262 284 309 393 412 426 524 618 639 786 852 927 1179 1236 1278 1572 1854 2358 2556 3708 4716 7313 9301 13493 14626 18602 21939 26986 27903 29252 37204 40479 43878 53972 55806 65817 80958 83709 87756 111612 121437 131634 161916 167418 242874 263268 334836 485748 958003 1916006 2874009 3832012 5748018 8622027 11496036 17244054 34488108