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45430336 = 267234409
BaseRepresentation
bin1010110101001…
…1011001000000
310011111002201001
42231103121000
543112232321
64301421344
71061102650
oct255233100
9104432631
1045430336
112370a536
121326a854
139548473
146068360
153ec5c91
hex2b53640

45430336 has 56 divisors (see below), whose sum is σ = 107533440. Its totient is φ = 18619392.

The previous prime is 45430321. The next prime is 45430361. The reversal of 45430336 is 63303454.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8100 + ... + 12508.

It is an arithmetic number, because the mean of its divisors is an integer number (1920240).

Almost surely, 245430336 is an apocalyptic number.

45430336 is a gapful number since it is divisible by the number (46) 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 45430336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53766720).

45430336 is an abundant number, since it is smaller than the sum of its proper divisors (62103104).

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

45430336 is a wasteful number, since it uses less digits than its factorization.

45430336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4451 (or 4441 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

The square root of 45430336 is about 6740.2029643031. The cubic root of 45430336 is about 356.8195569324.

The spelling of 45430336 in words is "forty-five million, four hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 322 368 448 644 736 1288 1472 2576 4409 5152 8818 10304 17636 30863 35272 61726 70544 101407 123452 141088 202814 246904 282176 405628 493808 709849 811256 987616 1419698 1622512 1975232 2839396 3245024 5678792 6490048 11357584 22715168 45430336