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34004416 = 264112959
BaseRepresentation
bin1000000110110…
…1110111000000
32100222121021211
42001231313000
532201120131
63212455504
7562014145
oct201556700
970877254
1034004416
1118216026
12b47a594
137077874
1447323cc
152eba5b1
hex206ddc0

34004416 has 28 divisors (see below), whose sum is σ = 69128640. Its totient is φ = 16586240.

The previous prime is 34004413. The next prime is 34004447. The reversal of 34004416 is 61440043.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34004413) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 3856 + ... + 9103.

It is an arithmetic number, because the mean of its divisors is an integer number (2468880).

Almost surely, 234004416 is an apocalyptic number.

It is an amenable number.

34004416 is an abundant number, since it is smaller than the sum of its proper divisors (35124224).

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

34004416 is a wasteful number, since it uses less digits than its factorization.

34004416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13012 (or 13002 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 34004416 is about 5831.3305514265. The cubic root of 34004416 is about 323.9752051340.

Adding to 34004416 its reverse (61440043), we get a palindrome (95444459).

The spelling of 34004416 in words is "thirty-four million, four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 2624 12959 25918 51836 103672 207344 414688 531319 829376 1062638 2125276 4250552 8501104 17002208 34004416