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34488828 = 2234119677
BaseRepresentation
bin1000001110010…
…0000111111100
32101220012210000
42003210013330
532312120303
63231114300
7566102343
oct203440774
971805700
1034488828
1118516a70
12b672990
1371b71ba
14481ab5a
153063da3
hex20e41fc

34488828 has 60 divisors (see below), whose sum is σ = 98367192. Its totient is φ = 10450080.

The previous prime is 34488827. The next prime is 34488871. The reversal of 34488828 is 82888443.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34488827) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1275 + ... + 8402.

Almost surely, 234488828 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 34488828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49183596).

34488828 is an abundant number, since it is smaller than the sum of its proper divisors (63878364).

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

34488828 is a wasteful number, since it uses less digits than its factorization.

34488828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9704 (or 9693 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 34488828 is about 5872.7189614352. The cubic root of 34488828 is about 325.5063601722.

The spelling of 34488828 in words is "thirty-four million, four hundred eighty-eight thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1782 3564 9677 19354 29031 38708 58062 87093 106447 116124 174186 212894 261279 319341 348372 425788 522558 638682 783837 958023 1045116 1277364 1567674 1916046 2874069 3135348 3832092 5748138 8622207 11496276 17244414 34488828