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45440340 = 2235113569
BaseRepresentation
bin1010110101010…
…1110101010100
310011111121102120
42231111311110
543113042330
64301535540
71061144061
oct255256524
9104447376
1045440340
1123717000
12132745b0
13954cb9a
14606bc68
153ec8c10
hex2b55d54

45440340 has 96 divisors (see below), whose sum is σ = 140192640. Its totient is φ = 10996480.

The previous prime is 45440321. The next prime is 45440347. The reversal of 45440340 is 4304454.

It is a self number, because there is not a number n which added to its sum of digits gives 45440340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45440347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79576 + ... + 80144.

It is an arithmetic number, because the mean of its divisors is an integer number (1460340).

Almost surely, 245440340 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 45440340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70096320).

45440340 is an abundant number, since it is smaller than the sum of its proper divisors (94752300).

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

45440340 is a wasteful number, since it uses less digits than its factorization.

45440340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 45440340 is about 6740.9450376041. The cubic root of 45440340 is about 356.8457461940.

Adding to 45440340 its reverse (4304454), we get a palindrome (49744794).

The spelling of 45440340 in words is "forty-five million, four hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 569 605 660 726 1138 1210 1331 1452 1707 1815 2276 2420 2662 2845 3414 3630 3993 5324 5690 6259 6655 6828 7260 7986 8535 11380 12518 13310 15972 17070 18777 19965 25036 26620 31295 34140 37554 39930 62590 68849 75108 79860 93885 125180 137698 187770 206547 275396 344245 375540 413094 688490 757339 826188 1032735 1376980 1514678 2065470 2272017 3029356 3786695 4130940 4544034 7573390 9088068 11360085 15146780 22720170 45440340