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34470624 = 253359069
BaseRepresentation
bin1000001101111…
…1101011100000
32101212021210210
42003133223200
532311024444
63230454120
7565665306
oct203375340
971767723
1034470624
1118504321
12b664340
1371abb26
144814276
15305d7b9
hex20dfae0

34470624 has 24 divisors (see below), whose sum is σ = 90485640. Its totient is φ = 11490176.

The previous prime is 34470619. The next prime is 34470641. The reversal of 34470624 is 42607443.

34470624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 34470591 and 34470600.

It is a congruent number.

It is an unprimeable number.

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, 179439 + ... + 179630.

It is an arithmetic number, because the mean of its divisors is an integer number (3770235).

Almost surely, 234470624 is an apocalyptic number.

It is an amenable number.

34470624 is an abundant number, since it is smaller than the sum of its proper divisors (56015016).

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

34470624 is a wasteful number, since it uses less digits than its factorization.

34470624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359082 (or 359074 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 34470624 is about 5871.1688785113. The cubic root of 34470624 is about 325.4490801681.

The spelling of 34470624 in words is "thirty-four million, four hundred seventy thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 359069 718138 1077207 1436276 2154414 2872552 4308828 5745104 8617656 11490208 17235312 34470624