Search a number
-
+
340504200 = 233252189169
BaseRepresentation
bin10100010010111…
…010111010001000
3212201201101221200
4110102322322020
51144132113300
653442104200
711303144421
oct2422727210
9781641850
10340504200
11165229933
129604b060
135570cc9a
1433318648
151ed60200
hex144bae88

340504200 has 72 divisors (see below), whose sum is σ = 1143532650. Its totient is φ = 90800640.

The previous prime is 340504159. The next prime is 340504201. The reversal of 340504200 is 2405043.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 287709444 + 52794756 = 16962^2 + 7266^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3405042002 = 231886220435280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (340504201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 92785 + ... + 96384.

Almost surely, 2340504200 is an apocalyptic number.

340504200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340504200 is an abundant number, since it is smaller than the sum of its proper divisors (803028450).

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

340504200 is a wasteful number, since it uses less digits than its factorization.

340504200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189191 (or 189179 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 340504200 is about 18452.7558917361. The cubic root of 340504200 is about 698.2980421380.

Adding to 340504200 its reverse (2405043), we get a palindrome (342909243).

The spelling of 340504200 in words is "three hundred forty million, five hundred four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 189169 378338 567507 756676 945845 1135014 1513352 1702521 1891690 2270028 2837535 3405042 3783380 4540056 4729225 5675070 6810084 7566760 8512605 9458450 11350140 13620168 14187675 17025210 18916900 22700280 28375350 34050420 37833800 42563025 56750700 68100840 85126050 113501400 170252100 340504200