Search a number
-
+
344100100 = 22527347137
BaseRepresentation
bin10100100000101…
…000110100000100
3212222111002121011
4110200220310010
51201042200400
654051132004
711345542201
oct2440506404
9788432534
10344100100
11167265553
12972a4004
135639b936
14339b2ca8
15203208ba
hex14828d04

344100100 has 36 divisors (see below), whose sum is σ = 756942004. Its totient is φ = 135751680.

The previous prime is 344100083. The next prime is 344100101. The reversal of 344100100 is 1001443.

It can be written as a sum of positive squares in 6 ways, for example, as 74615044 + 269485056 = 8638^2 + 16416^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344100101) 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, 16269 + ... + 30868.

Almost surely, 2344100100 is an apocalyptic number.

It is an amenable number.

344100100 is an abundant number, since it is smaller than the sum of its proper divisors (412841904).

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

344100100 is a wasteful number, since it uses less digits than its factorization.

344100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47224 (or 47217 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 344100100 is about 18549.9353098602. The cubic root of 344100100 is about 700.7475686928.

Adding to 344100100 its reverse (1001443), we get a palindrome (345101543).

The spelling of 344100100 in words is "three hundred forty-four million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1460 1825 3650 7300 47137 94274 188548 235685 471370 942740 1178425 2356850 3441001 4713700 6882002 13764004 17205005 34410010 68820020 86025025 172050050 344100100