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3485958 = 237271167
BaseRepresentation
bin1101010011000100000110
320120002211120
431103010012
51343022313
6202414410
741426100
oct15230406
96502746
103485958
111a71063
121201406
139508c8
1466a570
1548cd23
hex353106

3485958 has 48 divisors (see below), whose sum is σ = 8273664. Its totient is φ = 976080.

The previous prime is 3485957. The next prime is 3485983. The reversal of 3485958 is 8595843.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3485957) 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, 20791 + ... + 20957.

It is an arithmetic number, because the mean of its divisors is an integer number (172368).

Almost surely, 23485958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3485958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4136832).

3485958 is an abundant number, since it is smaller than the sum of its proper divisors (4787706).

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

3485958 is a wasteful number, since it uses less digits than its factorization.

3485958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 250 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The square root of 3485958 is about 1867.0720393172. The cubic root of 3485958 is about 151.6261298634.

The spelling of 3485958 in words is "three million, four hundred eighty-five thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 7 14 21 42 49 71 98 142 147 167 213 294 334 426 497 501 994 1002 1169 1491 2338 2982 3479 3507 6958 7014 8183 10437 11857 16366 20874 23714 24549 35571 49098 71142 82999 165998 248997 497994 580993 1161986 1742979 3485958