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45035334 = 23223181601
BaseRepresentation
bin1010101111001…
…0111101000110
310010202000212100
42223302331012
543012112314
64245132530
71054536231
oct253627506
9103660770
1045035334
112346a793
12130ba146
13943a736
145da4418
153e48c09
hex2af2f46

45035334 has 48 divisors (see below), whose sum is σ = 102551904. Its totient is φ = 14256000.

The previous prime is 45035321. The next prime is 45035351. The reversal of 45035334 is 43353054.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 45035298 and 45035307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74634 + ... + 75234.

It is an arithmetic number, because the mean of its divisors is an integer number (2136498).

Almost surely, 245035334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45035334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51275952).

45035334 is an abundant number, since it is smaller than the sum of its proper divisors (57516570).

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

45035334 is a wasteful number, since it uses less digits than its factorization.

45035334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 45035334 is about 6710.8370565824. The cubic root of 45035334 is about 355.7824018475.

Adding to 45035334 its reverse (43353054), we get a palindrome (88388388).

It can be divided in two parts, 45035 and 334, that added together give a square (45369 = 2132).

The spelling of 45035334 in words is "forty-five million, thirty-five thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 46 69 138 181 207 362 414 543 601 1086 1202 1629 1803 3258 3606 4163 5409 8326 10818 12489 13823 24978 27646 37467 41469 74934 82938 108781 124407 217562 248814 326343 652686 979029 1958058 2501963 5003926 7505889 15011778 22517667 45035334