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45001344 = 273117191
BaseRepresentation
bin1010101110101…
…0101010000000
310010200022020110
42223222222000
543010020334
64244311320
71054335153
oct253525200
9103608213
1045001344
11234471a3
12130a2540
13942811b
145d95c9a
153e3dae9
hex2aeaa80

45001344 has 32 divisors (see below), whose sum is σ = 119535840. Its totient is φ = 15000320.

The previous prime is 45001343. The next prime is 45001357. The reversal of 45001344 is 44310054.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 45001344.

It is not an unprimeable number, because it can be changed into a prime (45001343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 58212 + ... + 58979.

It is an arithmetic number, because the mean of its divisors is an integer number (3735495).

Almost surely, 245001344 is an apocalyptic number.

It is an amenable number.

45001344 is an abundant number, since it is smaller than the sum of its proper divisors (74534496).

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

45001344 is a wasteful number, since it uses less digits than its factorization.

45001344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117208 (or 117196 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 45001344 is about 6708.3041075968. The cubic root of 45001344 is about 355.6928714986.

Adding to 45001344 its reverse (44310054), we get a palindrome (89311398).

The spelling of 45001344 in words is "forty-five million, one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 117191 234382 351573 468764 703146 937528 1406292 1875056 2812584 3750112 5625168 7500224 11250336 15000448 22500672 45001344