Search a number
-
+
2304661428 = 2232443144511
BaseRepresentation
bin1000100101011110…
…0101011110110100
312221121121221010200
42021113211132310
514204443131203
61020404520500
7111053204346
oct21127453664
95847557120
102304661428
11a82a15273
125439b0130
132a9617ab4
1417c123296
15d74e29a3
hex895e57b4

2304661428 has 36 divisors (see below), whose sum is σ = 5838862848. Its totient is φ = 766481040.

The previous prime is 2304661417. The next prime is 2304661451. The reversal of 2304661428 is 8241664032.

2304661428 is a `hidden beast` number, since 2 + 30 + 4 + 6 + 614 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×23046614282 = 10622928595421998368, which contains 22 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 = 2304661392 and 2304661401.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 56308 + ... + 88203.

Almost surely, 22304661428 is an apocalyptic number.

It is an amenable number.

2304661428 is an abundant number, since it is smaller than the sum of its proper divisors (3534201420).

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

2304661428 is a wasteful number, since it uses less digits than its factorization.

2304661428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144964 (or 144959 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2304661428 is about 48006.8893805879. The cubic root of 2304661428 is about 1320.8972756098.

The spelling of 2304661428 in words is "two billion, three hundred four million, six hundred sixty-one thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 443 886 1329 1772 2658 3987 5316 7974 15948 144511 289022 433533 578044 867066 1300599 1734132 2601198 5202396 64018373 128036746 192055119 256073492 384110238 576165357 768220476 1152330714 2304661428