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34004224 = 28196991
BaseRepresentation
bin1000000110110…
…1110100000000
32100222121000201
42001231310000
532201113344
63212454544
7562013452
oct201556400
970877021
1034004224
1118215971
12b47a454
137077757
1447322d2
152eba4d4
hex206dd00

34004224 has 36 divisors (see below), whose sum is σ = 71458240. Its totient is φ = 16104960.

The previous prime is 34004213. The next prime is 34004231. The reversal of 34004224 is 42240043.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1369 + ... + 8359.

Almost surely, 234004224 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 34004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35729120).

34004224 is an abundant number, since it is smaller than the sum of its proper divisors (37454016).

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

34004224 is an equidigital number, since it uses as much as digits as its factorization.

34004224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7026 (or 7012 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 34004224 is about 5831.3140886082. The cubic root of 34004224 is about 323.9745953764.

Adding to 34004224 its reverse (42240043), we get a palindrome (76244267).

The spelling of 34004224 in words is "thirty-four million, four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 608 1216 2432 4864 6991 13982 27964 55928 111856 132829 223712 265658 447424 531316 894848 1062632 1789696 2125264 4250528 8501056 17002112 34004224