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3485322 = 233194379
BaseRepresentation
bin1101010010111010001010
320120001222000
431102322022
51343012242
6202411430
741424201
oct15227212
96501860
103485322
111a70635
121200b76
13950529
1466a238
1548ca4c
hex352e8a

3485322 has 64 divisors (see below), whose sum is σ = 8448000. Its totient is φ = 1061424.

The previous prime is 3485297. The next prime is 3485327. The reversal of 3485322 is 2235843.

3485322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3485327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44079 + ... + 44157.

It is an arithmetic number, because the mean of its divisors is an integer number (132000).

Almost surely, 23485322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3485322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4224000).

3485322 is an abundant number, since it is smaller than the sum of its proper divisors (4962678).

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

3485322 is a wasteful number, since it uses less digits than its factorization.

3485322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 146 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 3485322 is about 1866.9017113924. The cubic root of 3485322 is about 151.6169080958.

The spelling of 3485322 in words is "three million, four hundred eighty-five thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 43 54 57 79 86 114 129 158 171 237 258 342 387 474 513 711 774 817 1026 1161 1422 1501 1634 2133 2322 2451 3002 3397 4266 4503 4902 6794 7353 9006 10191 13509 14706 20382 22059 27018 30573 40527 44118 61146 64543 81054 91719 129086 183438 193629 387258 580887 1161774 1742661 3485322