Search a number
-
+
1364296428 = 22321123149791
BaseRepresentation
bin101000101010001…
…1000001011101100
310112002011102212100
41101110120023230
510243224441203
6343213335100
745544220415
oct12124301354
93462142770
101364296428
11640123110
12320a97490
1318985a6c1
14cd29a80c
157eb90ea3
hex515182ec

1364296428 has 72 divisors (see below), whose sum is σ = 3925748736. Its totient is φ = 395445600.

The previous prime is 1364296403. The next prime is 1364296433. The reversal of 1364296428 is 8246924631.

1364296428 is a `hidden beast` number, since 136 + 4 + 2 + 96 + 428 = 666.

It is a super-2 number, since 2×13642964282 = 3722609486907118368, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65788 + ... + 84003.

It is an arithmetic number, because the mean of its divisors is an integer number (54524288).

Almost surely, 21364296428 is an apocalyptic number.

1364296428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1364296428 is an abundant number, since it is smaller than the sum of its proper divisors (2561452308).

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

1364296428 is a wasteful number, since it uses less digits than its factorization.

1364296428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149835 (or 149830 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 1364296428 is about 36936.3835262739. The cubic root of 1364296428 is about 1109.0971279912.

It can be divided in two parts, 1364 and 296428, that added together give a palindrome (297792).

The spelling of 1364296428 in words is "one billion, three hundred sixty-four million, two hundred ninety-six thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 506 759 828 1012 1518 2277 3036 4554 9108 149791 299582 449373 599164 898746 1348119 1647701 1797492 2696238 3295402 3445193 4943103 5392476 6590804 6890386 9886206 10335579 13780772 14829309 19772412 20671158 29658618 31006737 37897123 41342316 59317236 62013474 75794246 113691369 124026948 151588492 227382738 341074107 454765476 682148214 1364296428