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34364500 = 225368729
BaseRepresentation
bin1000001100010…
…1110001010100
32101122220020021
42003011301110
532244131000
63224314524
7565044022
oct203056124
971586207
1034364500
1118441615
12b612a44
137172731
1447c7712
15303c11a
hex20c5c54

34364500 has 24 divisors (see below), whose sum is σ = 75053160. Its totient is φ = 13745600.

The previous prime is 34364489. The next prime is 34364509. The reversal of 34364500 is 546343.

It can be written as a sum of positive squares in 4 ways, for example, as 770884 + 33593616 = 878^2 + 5796^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34364509) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33865 + ... + 34864.

It is an arithmetic number, because the mean of its divisors is an integer number (3127215).

Almost surely, 234364500 is an apocalyptic number.

It is an amenable number.

34364500 is an abundant number, since it is smaller than the sum of its proper divisors (40688660).

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

34364500 is a wasteful number, since it uses less digits than its factorization.

34364500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68748 (or 68736 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 34364500 is about 5862.1241883809. The cubic root of 34364500 is about 325.1147523774.

The spelling of 34364500 in words is "thirty-four million, three hundred sixty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 68729 137458 274916 343645 687290 1374580 1718225 3436450 6872900 8591125 17182250 34364500