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3484944 = 24342689
BaseRepresentation
bin1101010010110100010000
320120001110000
431102310100
51343004234
6202410000
741423121
oct15226420
96501400
103484944
111a70321
121200900
139502c8
1466a048
1548c899
hex352d10

3484944 has 50 divisors (see below), whose sum is σ = 10090190. Its totient is φ = 1161216.

The previous prime is 3484931. The next prime is 3484967. The reversal of 3484944 is 4494843.

It can be written as a sum of positive squares in only one way, i.e., 2073600 + 1411344 = 1440^2 + 1188^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3484899 and 3484908.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 49 + ... + 2640.

Almost surely, 23484944 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 3484944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5045095).

3484944 is an abundant number, since it is smaller than the sum of its proper divisors (6605246).

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

3484944 is a wasteful number, since it uses less digits than its factorization.

3484944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709 (or 2694 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 3484944 is about 1866.8004713948. The cubic root of 3484944 is about 151.6114267023.

The spelling of 3484944 in words is "three million, four hundred eighty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 2689 5378 8067 10756 16134 21512 24201 32268 43024 48402 64536 72603 96804 129072 145206 193608 217809 290412 387216 435618 580824 871236 1161648 1742472 3484944