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450533340 = 22345713917
BaseRepresentation
bin11010110110101…
…001011111011100
31011101202110120000
4122312221133130
51410314031330
6112412254300
714110320165
oct3266513734
91141673500
10450533340
11211350404
12106a71390
137245569a
1443b9a76c
1529846560
hex1ada97dc

450533340 has 120 divisors (see below), whose sum is σ = 1433611872. Its totient is φ = 118419840.

The previous prime is 450533311. The next prime is 450533383. The reversal of 450533340 is 43335054.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 113062 + ... + 116978.

Almost surely, 2450533340 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 450533340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716805936).

450533340 is an abundant number, since it is smaller than the sum of its proper divisors (983078532).

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

450533340 is a wasteful number, since it uses less digits than its factorization.

450533340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4009 (or 3998 counting only the distinct ones).

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

The square root of 450533340 is about 21225.7706573872. The cubic root of 450533340 is about 766.6120561815.

Adding to 450533340 its reverse (43335054), we get a palindrome (493868394).

The spelling of 450533340 in words is "four hundred fifty million, five hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 71 81 90 108 135 142 162 180 213 270 284 324 355 405 426 540 639 710 810 852 1065 1278 1420 1620 1917 2130 2556 3195 3834 3917 4260 5751 6390 7668 7834 9585 11502 11751 12780 15668 19170 19585 23004 23502 28755 35253 38340 39170 47004 57510 58755 70506 78340 105759 115020 117510 141012 176265 211518 235020 278107 317277 352530 423036 528795 556214 634554 705060 834321 1057590 1112428 1269108 1390535 1586385 1668642 2115180 2502963 2781070 3172770 3337284 4171605 5005926 5562140 6345540 7508889 8343210 10011852 12514815 15017778 16686420 22526667 25029630 30035556 37544445 45053334 50059260 75088890 90106668 112633335 150177780 225266670 450533340