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45132340 = 22511271757
BaseRepresentation
bin1010110000101…
…0101000110100
310010220221221011
42230022220310
543023213330
64251202004
71055422111
oct254125064
9103827834
1045132340
1123526660
1213146304
139472936
145dcb908
153e6782a
hex2b0aa34

45132340 has 48 divisors (see below), whose sum is σ = 103912704. Its totient is φ = 16329600.

The previous prime is 45132317. The next prime is 45132343. The reversal of 45132340 is 4323154.

It is a super-2 number, since 2×451323402 = 4073856227751200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45132343) 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 15 ways as a sum of consecutive naturals, for example, 59242 + ... + 59998.

It is an arithmetic number, because the mean of its divisors is an integer number (2164848).

Almost surely, 245132340 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 45132340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51956352).

45132340 is an abundant number, since it is smaller than the sum of its proper divisors (58780364).

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

45132340 is a wasteful number, since it uses less digits than its factorization.

45132340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 45132340 is about 6718.0607320863. The cubic root of 45132340 is about 356.0376701290.

Adding to 45132340 its reverse (4323154), we get a palindrome (49455494).

The spelling of 45132340 in words is "forty-five million, one hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 271 542 757 1084 1355 1514 2710 2981 3028 3785 5420 5962 7570 8327 11924 14905 15140 16654 29810 33308 41635 59620 83270 166540 205147 410294 820588 1025735 2051470 2256617 4102940 4513234 9026468 11283085 22566170 45132340