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45345344 = 2611411571
BaseRepresentation
bin1010110011111…
…0101001000000
310011022210010012
42230332221000
543102022334
64255524052
71060300112
oct254765100
9104283105
1045345344
11236616a0
1213229628
139518885
1460453b2
153eaa9ce
hex2b3ea40

45345344 has 56 divisors (see below), whose sum is σ = 100620576. Its totient is φ = 20096000.

The previous prime is 45345331. The next prime is 45345347. The reversal of 45345344 is 44354354.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 45345344.

It is not an unprimeable number, because it can be changed into a prime (45345347) 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, 28079 + ... + 29649.

It is an arithmetic number, because the mean of its divisors is an integer number (1796796).

Almost surely, 245345344 is an apocalyptic number.

45345344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45345344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50310288).

45345344 is an abundant number, since it is smaller than the sum of its proper divisors (55275232).

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

45345344 is a wasteful number, since it uses less digits than its factorization.

45345344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1625 counting only the distinct ones).

The product of its digits is 57600, while the sum is 32.

The square root of 45345344 is about 6733.8951580790. The cubic root of 45345344 is about 356.5969029223.

Adding to 45345344 its reverse (44354354), we get a palindrome (89699698).

It can be divided in two parts, 4 and 5345344, that multiplied together give a 4-th power (21381376 = 684).

The spelling of 45345344 in words is "forty-five million, three hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 164 176 328 352 451 656 704 902 1312 1571 1804 2624 3142 3608 6284 7216 12568 14432 17281 25136 28864 34562 50272 64411 69124 100544 128822 138248 257644 276496 515288 552992 708521 1030576 1105984 1417042 2061152 2834084 4122304 5668168 11336336 22672672 45345344