[go: up one dir, main page]

Search a number
-
+
32490234 = 234724093
BaseRepresentation
bin111101111110…
…0001011111010
32021010200020000
41323330023322
531304141414
63120213430
7543106500
oct173741372
967120200
1032490234
1117381437
12aa6a276
1369675ba
14445a670
152cbbb09
hex1efc2fa

32490234 has 60 divisors (see below), whose sum is σ = 84708954. Its totient is φ = 9280656.

The previous prime is 32490221. The next prime is 32490257. The reversal of 32490234 is 43209423.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 28676025 + 3814209 = 5355^2 + 1953^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 32490198 and 32490207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5892 + ... + 9984.

Almost surely, 232490234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32490234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42354477).

32490234 is an abundant number, since it is smaller than the sum of its proper divisors (52218720).

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

32490234 is a wasteful number, since it uses less digits than its factorization.

32490234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4121 (or 4105 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 32490234 is about 5700.0205262788. The cubic root of 32490234 is about 319.0932468500.

Adding to 32490234 its reverse (43209423), we get a palindrome (75699657).

The spelling of 32490234 in words is "thirty-two million, four hundred ninety thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1323 2646 3969 4093 7938 8186 12279 24558 28651 36837 57302 73674 85953 110511 171906 200557 221022 257859 331533 401114 515718 601671 663066 773577 1203342 1547154 1805013 2320731 3610026 4641462 5415039 10830078 16245117 32490234