Search a number
-
+
412032033 = 327247103193
BaseRepresentation
bin11000100011110…
…001110000100001
31001201022101200200
4120203301300201
51320440011113
6104515135413
713132133400
oct3043616041
91051271620
10412032033
111a1643846
12b5ba4569
136749504a
143ca17637
152628d873
hex188f1c21

412032033 has 72 divisors (see below), whose sum is σ = 717619968. Its totient is φ = 227017728.

The previous prime is 412032031. The next prime is 412032053. The reversal of 412032033 is 330230214.

It is not a de Polignac number, because 412032033 - 21 = 412032031 is a prime.

It is a super-2 number, since 2×4120320332 = 339540792436226178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 412031997 and 412032015.

It is not an unprimeable number, because it can be changed into a prime (412032031) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2134785 + ... + 2134977.

It is an arithmetic number, because the mean of its divisors is an integer number (9966944).

Almost surely, 2412032033 is an apocalyptic number.

It is an amenable number.

412032033 is a deficient number, since it is larger than the sum of its proper divisors (305587935).

412032033 is a wasteful number, since it uses less digits than its factorization.

412032033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 412032033 is about 20298.5721911666. The cubic root of 412032033 is about 744.1211702145.

Adding to 412032033 its reverse (330230214), we get a palindrome (742262247).

The spelling of 412032033 in words is "four hundred twelve million, thirty-two thousand, thirty-three".

Divisors: 1 3 7 9 21 47 49 63 103 141 147 193 309 329 423 441 579 721 927 987 1351 1737 2163 2303 2961 4053 4841 5047 6489 6909 9071 9457 12159 14523 15141 19879 20727 27213 28371 33887 43569 45423 59637 63497 81639 85113 101661 139153 178911 190491 237209 304983 417459 444479 571473 711627 934313 974071 1252377 1333437 2134881 2802939 2922213 4000311 6540191 8408817 8766639 19620573 45781337 58861719 137344011 412032033