Search a number
-
+
241400628 = 22337319313
BaseRepresentation
bin11100110001101…
…11101100110100
3121211020102102000
432120313230310
5443244310003
635542015300
75660604630
oct1630675464
9554212360
10241400628
1111429a957
1268a17530
133b021511
14240bbdc0
15162d61a3
hexe637b34

241400628 has 48 divisors (see below), whose sum is σ = 715263360. Its totient is φ = 68971392.

The previous prime is 241400623. The next prime is 241400647. The reversal of 241400628 is 826004142.

241400628 is a `hidden beast` number, since 24 + 14 + 0 + 0 + 628 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241400623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158901 + ... + 160412.

It is an arithmetic number, because the mean of its divisors is an integer number (14901320).

Almost surely, 2241400628 is an apocalyptic number.

241400628 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

241400628 is an abundant number, since it is smaller than the sum of its proper divisors (473862732).

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

241400628 is a wasteful number, since it uses less digits than its factorization.

241400628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319333 (or 319325 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 241400628 is about 15537.0726972619. The cubic root of 241400628 is about 622.6530673089.

The spelling of 241400628 in words is "two hundred forty-one million, four hundred thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 319313 638626 957939 1277252 1915878 2235191 2873817 3831756 4470382 5747634 6705573 8621451 8940764 11495268 13411146 17242902 20116719 26822292 34485804 40233438 60350157 80466876 120700314 241400628