Search a number
-
+
340433000 = 23532771229
BaseRepresentation
bin10100010010101…
…001100001101000
3212201120210021122
4110102221201220
51144122324000
653440354412
711302430015
oct2422514150
9781523248
10340433000
11165190396
1296015a08
13556b675b
14332da70c
151ed49085
hex144a9868

340433000 has 64 divisors (see below), whose sum is σ = 800139600. Its totient is φ = 135571200.

The previous prime is 340432993. The next prime is 340433011. The reversal of 340433000 is 334043.

It can be written as a sum of positive squares in 8 ways, for example, as 37185604 + 303247396 = 6098^2 + 17414^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 340433000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276386 + ... + 277614.

Almost surely, 2340433000 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 340433000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400069800).

340433000 is an abundant number, since it is smaller than the sum of its proper divisors (459706600).

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

340433000 is a wasteful number, since it uses less digits than its factorization.

340433000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 340433000 is about 18450.8265397515. The cubic root of 340433000 is about 698.2493669807.

Adding to 340433000 its reverse (334043), we get a palindrome (340767043).

The spelling of 340433000 in words is "three hundred forty million, four hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 277 500 554 1000 1108 1229 1385 2216 2458 2770 4916 5540 6145 6925 9832 11080 12290 13850 24580 27700 30725 34625 49160 55400 61450 69250 122900 138500 153625 245800 277000 307250 340433 614500 680866 1229000 1361732 1702165 2723464 3404330 6808660 8510825 13617320 17021650 34043300 42554125 68086600 85108250 170216500 340433000