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45340288 = 27727229
BaseRepresentation
bin1010110011110…
…1011010000000
310011022112011221
42230331122000
543101342123
64255444424
71060246300
oct254753200
9104275157
1045340288
1123658914
1213226714
139516496
146043600
153ea925d
hex2b3d680

45340288 has 48 divisors (see below), whose sum is σ = 105088050. Its totient is φ = 19428864.

The previous prime is 45340277. The next prime is 45340303. The reversal of 45340288 is 88204354.

It can be written as a sum of positive squares in only one way, i.e., 23736384 + 21603904 = 4872^2 + 4648^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2658 + ... + 9886.

Almost surely, 245340288 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 45340288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52544025).

45340288 is an abundant number, since it is smaller than the sum of its proper divisors (59747762).

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

45340288 is an equidigital number, since it uses as much as digits as its factorization.

45340288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7257 (or 7238 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 45340288 is about 6733.5197333935. The cubic root of 45340288 is about 356.5836489268.

The spelling of 45340288 in words is "forty-five million, three hundred forty thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 6272 7229 14458 28916 50603 57832 101206 115664 202412 231328 354221 404824 462656 708442 809648 925312 1416884 1619296 2833768 3238592 5667536 6477184 11335072 22670144 45340288