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2086434 = 232729571
BaseRepresentation
bin111111101011000100010
310221000001100
413331120202
51013231214
6112415230
723506620
oct7753042
93830040
102086434
1111a5629
12847516
1358089c
143c4510
152b3309
hex1fd622

2086434 has 48 divisors (see below), whose sum is σ = 5353920. Its totient is φ = 574560.

The previous prime is 2086433. The next prime is 2086439. The reversal of 2086434 is 4346802.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2086398 and 2086407.

It is not an unprimeable number, because it can be changed into a prime (2086433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3369 + ... + 3939.

It is an arithmetic number, because the mean of its divisors is an integer number (111540).

22086434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2086434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676960).

2086434 is an abundant number, since it is smaller than the sum of its proper divisors (3267486).

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

2086434 is a wasteful number, since it uses less digits than its factorization.

2086434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2086434 is about 1444.4493760600. The cubic root of 2086434 is about 127.7815691937.

The spelling of 2086434 in words is "two million, eighty-six thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 406 522 571 609 1142 1218 1713 1827 3426 3654 3997 5139 7994 10278 11991 16559 23982 33118 35973 49677 71946 99354 115913 149031 231826 298062 347739 695478 1043217 2086434