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34000488 = 23321812609
BaseRepresentation
bin1000000110110…
…0111001101000
32100222101220100
42001230321220
532201003423
63212425400
7561666534
oct201547150
970871810
1034000488
1118213085
12b478260
137075b42
144730bc4
152eb9343
hex206ce68

34000488 has 48 divisors (see below), whose sum is σ = 92628900. Its totient is φ = 11266560.

The previous prime is 34000453. The next prime is 34000501. The reversal of 34000488 is 88400043.

It can be written as a sum of positive squares in 2 ways, for example, as 30008484 + 3992004 = 5478^2 + 1998^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 11728 + ... + 14336.

Almost surely, 234000488 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 34000488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46314450).

34000488 is an abundant number, since it is smaller than the sum of its proper divisors (58628412).

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

34000488 is a wasteful number, since it uses less digits than its factorization.

34000488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 34000488 is about 5830.9937403499. The cubic root of 34000488 is about 323.9627300523.

The spelling of 34000488 in words is "thirty-four million, four hundred eighty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 181 362 543 724 1086 1448 1629 2172 2609 3258 4344 5218 6516 7827 10436 13032 15654 20872 23481 31308 46962 62616 93924 187848 472229 944458 1416687 1888916 2833374 3777832 4250061 5666748 8500122 11333496 17000244 34000488