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3441920 = 2852689
BaseRepresentation
bin1101001000010100000000
320110212102112
431020110000
51340120140
6201434452
741153516
oct15102400
96425375
103441920
111a40a69
12119ba28
13936851
146584b6
1547ec65
hex348500

3441920 has 36 divisors (see below), whose sum is σ = 8247540. Its totient is φ = 1376256.

The previous prime is 3441913. The next prime is 3441929. The reversal of 3441920 is 291443.

It can be written as a sum of positive squares in 2 ways, for example, as 565504 + 2876416 = 752^2 + 1696^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3441929) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65 + ... + 2624.

Almost surely, 23441920 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 3441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4123770).

3441920 is an abundant number, since it is smaller than the sum of its proper divisors (4805620).

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

3441920 is an equidigital number, since it uses as much as digits as its factorization.

3441920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2710 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 3441920 is about 1855.2412242078. The cubic root of 3441920 is about 150.9849260569.

The spelling of 3441920 in words is "three million, four hundred forty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 2689 5378 10756 13445 21512 26890 43024 53780 86048 107560 172096 215120 344192 430240 688384 860480 1720960 3441920