[go: up one dir, main page]

Search a number
-
+
633346038 = 2321319142453
BaseRepresentation
bin100101110000000…
…001011111110110
31122010202022102200
4211300001133312
52244114033123
6142502445330
721460231623
oct4560013766
91563668380
10633346038
112a5564286
12158133846
13a12a2890
146018734a
153a908143
hex25c017f6

633346038 has 48 divisors (see below), whose sum is σ = 1555597680. Its totient is φ = 184617792.

The previous prime is 633346037. The next prime is 633346099. The reversal of 633346038 is 830643336.

It is a happy number.

633346038 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6333460382 = 802254407700594888, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 633345993 and 633346011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (633346031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66781 + ... + 75672.

It is an arithmetic number, because the mean of its divisors is an integer number (32408285).

Almost surely, 2633346038 is an apocalyptic number.

633346038 is an abundant number, since it is smaller than the sum of its proper divisors (922251642).

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

633346038 is a wasteful number, since it uses less digits than its factorization.

633346038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142493 (or 142490 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 633346038 is about 25166.3671991013. The cubic root of 633346038 is about 858.7768975131.

The spelling of 633346038 in words is "six hundred thirty-three million, three hundred forty-six thousand, thirty-eight".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 494 741 1482 2223 4446 142453 284906 427359 854718 1282077 1851889 2564154 2706607 3703778 5413214 5555667 8119821 11111334 16239642 16667001 24359463 33334002 35185891 48718926 70371782 105557673 211115346 316673019 633346038