[go: up one dir, main page]

Search a number
-
+
3442896 = 243223909
BaseRepresentation
bin1101001000100011010000
320110220202200
431020203100
51340133041
6201443200
741156412
oct15104320
96426680
103442896
111a41776
1211a0500
13937122
146589b2
154801b6
hex3488d0

3442896 has 30 divisors (see below), whose sum is σ = 9635730. Its totient is φ = 1147584.

The previous prime is 3442889. The next prime is 3442903. The reversal of 3442896 is 6982443.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3442889) and next prime (3442903).

It can be written as a sum of positive squares in only one way, i.e., 2143296 + 1299600 = 1464^2 + 1140^2 .

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 self number, because there is not a number n which added to its sum of digits gives 3442896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11811 + ... + 12098.

It is an arithmetic number, because the mean of its divisors is an integer number (321191).

Almost surely, 23442896 is an apocalyptic number.

3442896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3442896 is an abundant number, since it is smaller than the sum of its proper divisors (6192834).

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

3442896 is a wasteful number, since it uses less digits than its factorization.

3442896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23923 (or 23914 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3442896 is about 1855.5042441342. The cubic root of 3442896 is about 150.9991959374. Note that the first 3 decimals are identical.

It can be divided in two parts, 344 and 2896, that added together give a triangular number (3240 = T80).

The spelling of 3442896 in words is "three million, four hundred forty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 23909 47818 71727 95636 143454 191272 215181 286908 382544 430362 573816 860724 1147632 1721448 3442896