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45341300 = 2252617433
BaseRepresentation
bin1010110011110…
…1101001110100
310011022120120102
42230331221310
543101410200
64255453232
71060252244
oct254755164
9104276512
1045341300
1123659654
1213227218
139516a94
146043b24
153ea96d5
hex2b3da74

45341300 has 36 divisors (see below), whose sum is σ = 100017036. Its totient is φ = 17836800.

The previous prime is 45341293. The next prime is 45341311. The reversal of 45341300 is 314354.

It can be written as a sum of positive squares in 6 ways, for example, as 19412836 + 25928464 = 4406^2 + 5092^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2384 + ... + 9816.

It is an arithmetic number, because the mean of its divisors is an integer number (2778251).

Almost surely, 245341300 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 45341300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50008518).

45341300 is an abundant number, since it is smaller than the sum of its proper divisors (54675736).

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

45341300 is a wasteful number, since it uses less digits than its factorization.

45341300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7508 (or 7501 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 45341300 is about 6733.5948794088. The cubic root of 45341300 is about 356.5863019020.

Adding to 45341300 its reverse (314354), we get a palindrome (45655654).

The spelling of 45341300 in words is "forty-five million, three hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 6100 7433 14866 29732 37165 74330 148660 185825 371650 453413 743300 906826 1813652 2267065 4534130 9068260 11335325 22670650 45341300