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445433340 = 2235111935521
BaseRepresentation
bin11010100011001…
…100010111111100
31011001011100200010
4122203030113330
51403012331330
6112111103220
714016056322
oct3243142774
91131140603
10445433340
11209487730
12105211b10
137138b231
144322dd12
152918a3b0
hex1a8cc5fc

445433340 has 96 divisors (see below), whose sum is σ = 1432247040. Its totient is φ = 102297600.

The previous prime is 445433297. The next prime is 445433383. The reversal of 445433340 is 43334544.

It is an interprime number because it is at equal distance from previous prime (445433297) and next prime (445433383).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 445433298 and 445433307.

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, 5221 + ... + 30300.

It is an arithmetic number, because the mean of its divisors is an integer number (14919240).

Almost surely, 2445433340 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 445433340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716123520).

445433340 is an abundant number, since it is smaller than the sum of its proper divisors (986813700).

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

445433340 is a wasteful number, since it uses less digits than its factorization.

445433340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35563 (or 35561 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

The square root of 445433340 is about 21105.2917534916. The cubic root of 445433340 is about 763.7084105132.

Adding to 445433340 its reverse (43334544), we get a palindrome (488767884).

The spelling of 445433340 in words is "four hundred forty-five million, four hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 380 418 570 627 660 836 1045 1140 1254 2090 2508 3135 4180 6270 12540 35521 71042 106563 142084 177605 213126 355210 390731 426252 532815 674899 710420 781462 1065630 1172193 1349798 1562924 1953655 2024697 2131260 2344386 2699596 3374495 3907310 4049394 4688772 5860965 6748990 7423889 7814620 8098788 10123485 11721930 13497980 14847778 20246970 22271667 23443860 29695556 37119445 40493940 44543334 74238890 89086668 111358335 148477780 222716670 445433340