Search a number
-
+
203440032 = 2533415743
BaseRepresentation
bin11000010000000…
…11111110100000
3112011210211021000
430020003332200
5404040040112
632104232000
75020132425
oct1410037640
9464724230
10203440032
11a4922564
125816b600
13331c0023
141d039d4c
1512cd87dc
hexc203fa0

203440032 has 96 divisors (see below), whose sum is σ = 607944960. Its totient is φ = 66147840.

The previous prime is 203440031. The next prime is 203440033. The reversal of 203440032 is 230044302.

It is an interprime number because it is at equal distance from previous prime (203440031) and next prime (203440033).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2034400322 = 82775693240322048, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 203439987 and 203440014.

It is not an unprimeable number, because it can be changed into a prime (203440031) by changing a digit.

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, 32553 + ... + 38295.

It is an arithmetic number, because the mean of its divisors is an integer number (6332760).

Almost surely, 2203440032 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 203440032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303972480).

203440032 is an abundant number, since it is smaller than the sum of its proper divisors (404504928).

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

203440032 is a wasteful number, since it uses less digits than its factorization.

203440032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5803 (or 5789 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 203440032 is about 14263.2405855051. The cubic root of 203440032 is about 588.1374106180.

Adding to 203440032 its reverse (230044302), we get a palindrome (433484334).

The spelling of 203440032 in words is "two hundred three million, four hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 72 82 96 108 123 144 164 216 246 288 328 369 432 492 656 738 864 984 1107 1312 1476 1968 2214 2952 3936 4428 5743 5904 8856 11486 11808 17229 17712 22972 34458 35424 45944 51687 68916 91888 103374 137832 155061 183776 206748 235463 275664 310122 413496 470926 551328 620244 706389 826992 941852 1240488 1412778 1653984 1883704 2119167 2480976 2825556 3767408 4238334 4961952 5651112 6357501 7534816 8476668 11302224 12715002 16953336 22604448 25430004 33906672 50860008 67813344 101720016 203440032