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34388076 = 223171011669
BaseRepresentation
bin1000001100101…
…1100001101100
32101201002120110
42003023201230
532300404301
63225020020
7565202532
oct203134154
971632513
1034388076
11184582a8
12b624610
137180398
1447d2152
1530440d6
hex20cb86c

34388076 has 48 divisors (see below), whose sum is σ = 85851360. Its totient is φ = 10675200.

The previous prime is 34388063. The next prime is 34388099. The reversal of 34388076 is 67088343.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 19770 + ... + 21438.

It is an arithmetic number, because the mean of its divisors is an integer number (1788570).

Almost surely, 234388076 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 34388076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42925680).

34388076 is an abundant number, since it is smaller than the sum of its proper divisors (51463284).

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

34388076 is a wasteful number, since it uses less digits than its factorization.

34388076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 34388076 is about 5864.1347187799. The cubic root of 34388076 is about 325.1890844470.

The spelling of 34388076 in words is "thirty-four million, three hundred eighty-eight thousand, seventy-six".

Divisors: 1 2 3 4 6 12 17 34 51 68 101 102 202 204 303 404 606 1212 1669 1717 3338 3434 5007 5151 6676 6868 10014 10302 20028 20604 28373 56746 85119 113492 168569 170238 337138 340476 505707 674276 1011414 2022828 2865673 5731346 8597019 11462692 17194038 34388076