Search a number
-
+
1044360828 = 22327109193197
BaseRepresentation
bin111110001111111…
…010111001111100
32200210011000201200
4332033322321330
54114324021303
6251344135500
734610630520
oct7617727174
92623130650
101044360828
11496572825
12251907590
1313849c8b4
149c9b7d80
1561a453a3
hex3e3fae7c

1044360828 has 144 divisors (see below), whose sum is σ = 3076032960. Its totient is φ = 292626432.

The previous prime is 1044360787. The next prime is 1044360851. The reversal of 1044360828 is 8280634401.

1044360828 is a `hidden beast` number, since 1 + 0 + 4 + 43 + 608 + 2 + 8 = 666.

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 = 1044360792 and 1044360801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5301226 + ... + 5301422.

It is an arithmetic number, because the mean of its divisors is an integer number (21361340).

Almost surely, 21044360828 is an apocalyptic number.

1044360828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1044360828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538016480).

1044360828 is an abundant number, since it is smaller than the sum of its proper divisors (2031672132).

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

1044360828 is a wasteful number, since it uses less digits than its factorization.

1044360828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1044360828 is about 32316.5720335558. The cubic root of 1044360828 is about 1014.5735233390.

The spelling of 1044360828 in words is "one billion, forty-four million, three hundred sixty thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 109 126 193 197 218 252 327 386 394 436 579 591 654 763 772 788 981 1158 1182 1308 1351 1379 1526 1737 1773 1962 2289 2316 2364 2702 2758 3052 3474 3546 3924 4053 4137 4578 5404 5516 6867 6948 7092 8106 8274 9156 12159 12411 13734 16212 16548 21037 21473 24318 24822 27468 38021 42074 42946 48636 49644 63111 64419 76042 84148 85892 114063 126222 128838 147259 150311 152084 189333 193257 228126 252444 257676 266147 294518 300622 342189 378666 386514 441777 450933 456252 532294 589036 601244 684378 757332 773028 798441 883554 901866 1064588 1325331 1352799 1368756 1596882 1767108 1803732 2395323 2650662 2705598 3193764 4144289 4790646 5301324 5411196 8288578 9581292 12432867 16577156 24865734 29010023 37298601 49731468 58020046 74597202 87030069 116040092 149194404 174060138 261090207 348120276 522180414 1044360828