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45354330 = 2345719421
BaseRepresentation
bin1010110100000…
…0110101011010
310011100020110000
42231000311122
543102314310
64300033430
71060335240
oct255006532
9104306400
1045354330
112366841a
1213232876
13951c9a8
146048790
153ead4c0
hex2b40d5a

45354330 has 160 divisors (see below), whose sum is σ = 147058560. Its totient is φ = 9797760.

The previous prime is 45354329. The next prime is 45354359. The reversal of 45354330 is 3345354.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 45354294 and 45354303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 107520 + ... + 107940.

It is an arithmetic number, because the mean of its divisors is an integer number (919116).

Almost surely, 245354330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45354330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73529280).

45354330 is an abundant number, since it is smaller than the sum of its proper divisors (101704230).

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

45354330 is a wasteful number, since it uses less digits than its factorization.

45354330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 457 counting only the distinct ones).

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

The square root of 45354330 is about 6734.5623465820. The cubic root of 45354330 is about 356.6204567417.

Adding to 45354330 its reverse (3345354), we get a palindrome (48699684).

The spelling of 45354330 in words is "forty-five million, three hundred fifty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 27 30 35 38 42 45 54 57 63 70 81 90 95 105 114 126 133 135 162 171 189 190 210 266 270 285 315 342 378 399 405 421 513 567 570 630 665 798 810 842 855 945 1026 1134 1197 1263 1330 1539 1710 1890 1995 2105 2394 2526 2565 2835 2947 3078 3591 3789 3990 4210 5130 5670 5894 5985 6315 7182 7578 7695 7999 8841 10773 11367 11970 12630 14735 15390 15998 17682 17955 18945 21546 22734 23997 26523 29470 34101 35910 37890 39995 44205 47994 53046 53865 55993 56835 68202 71991 79569 79990 88410 107730 111986 113670 119985 132615 143982 159138 167979 170505 215973 238707 239970 265230 279965 335958 341010 359955 397845 431946 477414 503937 559930 647919 719910 795690 839895 1007874 1079865 1193535 1295838 1511811 1679790 2159730 2387070 2519685 3023622 3239595 4535433 5039370 6479190 7559055 9070866 15118110 22677165 45354330