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3484872 = 2332291669
BaseRepresentation
bin1101010010110011001000
320120001100100
431102303020
51343003442
6202405400
741422656
oct15226310
96501310
103484872
111a70266
121200860
13950271
14669dd6
1548c84c
hex352cc8

3484872 has 48 divisors (see below), whose sum is σ = 9769500. Its totient is φ = 1120896.

The previous prime is 3484861. The next prime is 3484879. The reversal of 3484872 is 2784843.

It can be written as a sum of positive squares in 2 ways, for example, as 3481956 + 2916 = 1866^2 + 54^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3484879) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1254 + ... + 2922.

Almost surely, 23484872 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 3484872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4884750).

3484872 is an abundant number, since it is smaller than the sum of its proper divisors (6284628).

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

3484872 is a wasteful number, since it uses less digits than its factorization.

3484872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710 (or 1703 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 3484872 is about 1866.7811869633. The cubic root of 3484872 is about 151.6103825825.

It can be divided in two parts, 34848 and 72, that multiplied together give a square (2509056 = 15842).

The spelling of 3484872 in words is "three million, four hundred eighty-four thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 1669 2088 3338 5007 6676 10014 13352 15021 20028 30042 40056 48401 60084 96802 120168 145203 193604 290406 387208 435609 580812 871218 1161624 1742436 3484872