Search a number
-
+
635630328 = 2334980911
BaseRepresentation
bin100101111000101…
…111001011111000
31122022001100220000
4211320233023320
52300210132303
6143023433000
721515524434
oct4570571370
91568040800
10635630328
112a6884523
12158a55760
13a18c2528
14605bd9c4
153ac09da3
hex25e2f2f8

635630328 has 40 divisors (see below), whose sum is σ = 1780355280. Its totient is φ = 211876560.

The previous prime is 635630327. The next prime is 635630341. The reversal of 635630328 is 823036536.

It is a happy number.

635630328 is a `hidden beast` number, since 63 + 563 + 0 + 32 + 8 = 666.

It is a super-3 number, since 3×6356303283 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 635630292 and 635630301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (635630327) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 489808 + ... + 491103.

It is an arithmetic number, because the mean of its divisors is an integer number (44508882).

Almost surely, 2635630328 is an apocalyptic number.

It is an amenable number.

635630328 is an abundant number, since it is smaller than the sum of its proper divisors (1144724952).

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

635630328 is a wasteful number, since it uses less digits than its factorization.

635630328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980929 (or 980916 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 635630328 is about 25211.7101363632. The cubic root of 635630328 is about 859.8081093412.

The spelling of 635630328 in words is "six hundred thirty-five million, six hundred thirty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 980911 1961822 2942733 3923644 5885466 7847288 8828199 11770932 17656398 23541864 26484597 35312796 52969194 70625592 79453791 105938388 158907582 211876776 317815164 635630328