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34223104 = 210191759
BaseRepresentation
bin1000001010001…
…1010000000000
32101101201021101
42002203100000
532230114404
63221304144
7563614546
oct202432000
971351241
1034223104
1118355363
12b565054
137123276
14478bd96
1530102a4
hex20a3400

34223104 has 44 divisors (see below), whose sum is σ = 72054400. Its totient is φ = 16201728.

The previous prime is 34223099. The next prime is 34223153. The reversal of 34223104 is 40132243.

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, 18577 + ... + 20335.

It is an arithmetic number, because the mean of its divisors is an integer number (1637600).

Almost surely, 234223104 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 34223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36027200).

34223104 is an abundant number, since it is smaller than the sum of its proper divisors (37831296).

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

34223104 is a wasteful number, since it uses less digits than its factorization.

34223104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 34223104 is about 5850.0516237038. The cubic root of 34223104 is about 324.6682342239.

Adding to 34223104 its reverse (40132243), we get a palindrome (74355347).

The spelling of 34223104 in words is "thirty-four million, two hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1024 1216 1759 2432 3518 4864 7036 9728 14072 19456 28144 33421 56288 66842 112576 133684 225152 267368 450304 534736 900608 1069472 1801216 2138944 4277888 8555776 17111552 34223104