Search a number
-
+
45404304 = 24311113761
BaseRepresentation
bin1010110100110…
…1000010010000
310011102202222220
42231031002100
543110414204
64301101040
71060634031
oct255150220
9104382886
1045404304
11236a1a20
1213257780
13953966a
14605ca88
153ebd1d9
hex2b4d090

45404304 has 80 divisors (see below), whose sum is σ = 129259584. Its totient is φ = 13619200.

The previous prime is 45404299. The next prime is 45404309. The reversal of 45404304 is 40340454.

It is an interprime number because it is at equal distance from previous prime (45404299) and next prime (45404309).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (45404309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59284 + ... + 60044.

Almost surely, 245404304 is an apocalyptic number.

45404304 is a gapful number since it is divisible by the number (44) 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 45404304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64629792).

45404304 is an abundant number, since it is smaller than the sum of its proper divisors (83855280).

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

45404304 is a wasteful number, since it uses less digits than its factorization.

45404304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 890 counting only the distinct ones).

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

The square root of 45404304 is about 6738.2715884713. The cubic root of 45404304 is about 356.7513902824.

Adding to 45404304 its reverse (40340454), we get a palindrome (85744758).

The spelling of 45404304 in words is "forty-five million, four hundred four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 113 132 176 226 264 339 452 528 678 761 904 1243 1356 1522 1808 2283 2486 2712 3044 3729 4566 4972 5424 6088 7458 8371 9132 9944 12176 14916 16742 18264 19888 25113 29832 33484 36528 50226 59664 66968 85993 100452 133936 171986 200904 257979 343972 401808 515958 687944 945923 1031916 1375888 1891846 2063832 2837769 3783692 4127664 5675538 7567384 11351076 15134768 22702152 45404304