Search a number
-
+
45340880 = 2451343597
BaseRepresentation
bin1010110011110…
…1100011010000
310011022112222212
42230331203100
543101402010
64255451252
71060251104
oct254754320
9104275885
1045340880
1123659302
1213226b28
139516830
146043904
153ea9505
hex2b3d8d0

45340880 has 40 divisors (see below), whose sum is σ = 113529192. Its totient is φ = 16740864.

The previous prime is 45340861. The next prime is 45340913. The reversal of 45340880 is 8804354.

45340880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2202256 + 43138624 = 1484^2 + 6568^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 20759 + ... + 22838.

Almost surely, 245340880 is an apocalyptic number.

45340880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45340880 is an abundant number, since it is smaller than the sum of its proper divisors (68188312).

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

45340880 is a wasteful number, since it uses less digits than its factorization.

45340880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43623 (or 43617 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 45340880 is about 6733.5636924291. The cubic root of 45340880 is about 356.5852008697.

The spelling of 45340880 in words is "forty-five million, three hundred forty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 43597 87194 174388 217985 348776 435970 566761 697552 871940 1133522 1743880 2267044 2833805 3487760 4534088 5667610 9068176 11335220 22670440 45340880