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3383532 = 2235592
BaseRepresentation
bin1100111010000011101100
320100220100000
430322003230
51331233112
6200304300
740521345
oct14720354
96326300
103383532
111a01109
121172090
139160b9
146410cc
1546c7dc
hex33a0ec

3383532 has 54 divisors (see below), whose sum is σ = 9022468. Its totient is φ = 1108728.

The previous prime is 3383531. The next prime is 3383537. The reversal of 3383532 is 2353833.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3383532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (54).

It is a super-2 number, since 2×33835322 = 22896577590048, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3383496 and 3383505.

It is not an unprimeable number, because it can be changed into a prime (3383531) 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 17 ways as a sum of consecutive naturals, for example, 57319 + ... + 57377.

Almost surely, 23383532 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 3383532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4511234).

3383532 is an abundant number, since it is smaller than the sum of its proper divisors (5638936).

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

3383532 is an equidigital number, since it uses as much as digits as its factorization.

3383532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 64 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 3383532 is about 1839.4379576381. The cubic root of 3383532 is about 150.1262936363.

Multiplying 3383532 by its sum of digits (27), we get a square (91355364 = 95582).

3383532 divided by its sum of digits (27) gives a square (125316 = 3542).

The spelling of 3383532 in words is "three million, three hundred eighty-three thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 81 108 118 162 177 236 243 324 354 486 531 708 972 1062 1593 2124 3186 3481 4779 6372 6962 9558 10443 13924 14337 19116 20886 28674 31329 41772 57348 62658 93987 125316 187974 281961 375948 563922 845883 1127844 1691766 3383532