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445107834 = 232291515647
BaseRepresentation
bin11010100001111…
…100111001111010
31011000112211011100
4122201330321322
51402421422314
6112100112230
714013232323
oct3241747172
91130484140
10445107834
11209285116
12105095676
13712a6022
144318744a
1529123c09
hex1a87ce7a

445107834 has 48 divisors (see below), whose sum is σ = 1004440320. Its totient is φ = 142279200.

The previous prime is 445107823. The next prime is 445107841. The reversal of 445107834 is 438701544.

445107834 is a `hidden beast` number, since 44 + 510 + 78 + 34 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75999 + ... + 81645.

It is an arithmetic number, because the mean of its divisors is an integer number (20925840).

Almost surely, 2445107834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445107834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502220160).

445107834 is an abundant number, since it is smaller than the sum of its proper divisors (559332486).

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

445107834 is a wasteful number, since it uses less digits than its factorization.

445107834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5835 (or 5832 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 445107834 is about 21097.5788658320. The cubic root of 445107834 is about 763.5223353471.

The spelling of 445107834 in words is "four hundred forty-five million, one hundred seven thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 18 29 58 87 151 174 261 302 453 522 906 1359 2718 4379 5647 8758 11294 13137 16941 26274 33882 39411 50823 78822 101646 163763 327526 491289 852697 982578 1473867 1705394 2558091 2947734 5116182 7674273 15348546 24728213 49456426 74184639 148369278 222553917 445107834