Search a number
-
+
45140304 = 243111747107
BaseRepresentation
bin1010110000110…
…0100101010000
310010221100212010
42230030211100
543023442204
64251302520
71055454246
oct254144520
9103840763
1045140304
1123531640
121314aa40
139476451
145dd0796
153e69d89
hex2b0c950

45140304 has 160 divisors (see below), whose sum is σ = 138848256. Its totient is φ = 12482560.

The previous prime is 45140299. The next prime is 45140311. The reversal of 45140304 is 40304154.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 421819 + ... + 421925.

Almost surely, 245140304 is an apocalyptic number.

45140304 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 45140304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69424128).

45140304 is an abundant number, since it is smaller than the sum of its proper divisors (93707952).

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

45140304 is a wasteful number, since it uses less digits than its factorization.

45140304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 45140304 is about 6718.6534365154. The cubic root of 45140304 is about 356.0586108945.

Adding to 45140304 its reverse (40304154), we get a palindrome (85444458).

It can be divided in two parts, 451 and 40304, that added together give a triangular number (40755 = T285).

The spelling of 45140304 in words is "forty-five million, one hundred forty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 47 48 51 66 68 88 94 102 107 132 136 141 176 187 188 204 214 264 272 282 321 374 376 408 428 517 528 561 564 642 748 752 799 816 856 1034 1122 1128 1177 1284 1496 1551 1598 1712 1819 2068 2244 2256 2354 2397 2568 2992 3102 3196 3531 3638 4136 4488 4708 4794 5029 5136 5457 6204 6392 7062 7276 8272 8789 8976 9416 9588 10058 10914 12408 12784 14124 14552 15087 17578 18832 19176 20009 20116 21828 24816 26367 28248 29104 30174 35156 38352 40018 40232 43656 52734 55319 56496 60027 60348 70312 80036 80464 85493 87312 105468 110638 120054 120696 140624 160072 165957 170986 210936 221276 240108 241392 256479 320144 331914 341972 421872 442552 480216 512958 663828 683944 885104 940423 960432 1025916 1327656 1367888 1880846 2051832 2655312 2821269 3761692 4103664 5642538 7523384 11285076 15046768 22570152 45140304