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34004720 = 245425059
BaseRepresentation
bin1000000110110…
…1111011110000
32100222121201002
42001231323300
532201122340
63212501132
7562015061
oct201557360
970877632
1034004720
1118216282
12b47a7a8
137077a49
144732568
152eba715
hex206def0

34004720 has 20 divisors (see below), whose sum is σ = 79061160. Its totient is φ = 13601856.

The previous prime is 34004717. The next prime is 34004723. The reversal of 34004720 is 2740043.

It is a happy number.

34004720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34004717) and next prime (34004723).

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 34004692 and 34004701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34004723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 212450 + ... + 212609.

It is an arithmetic number, because the mean of its divisors is an integer number (3953058).

Almost surely, 234004720 is an apocalyptic number.

It is an amenable number.

34004720 is an abundant number, since it is smaller than the sum of its proper divisors (45056440).

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

34004720 is a wasteful number, since it uses less digits than its factorization.

34004720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425072 (or 425066 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 34004720 is about 5831.3566174605. The cubic root of 34004720 is about 323.9761705789.

Adding to 34004720 its reverse (2740043), we get a palindrome (36744763).

The spelling of 34004720 in words is "thirty-four million, four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 425059 850118 1700236 2125295 3400472 4250590 6800944 8501180 17002360 34004720