Search a number
-
+
1128353408 = 27713731327
BaseRepresentation
bin100001101000001…
…0100111010000000
32220122012021212222
41003100110322000
54302324302113
6303544310212
736650563040
oct10320247200
92818167788
101128353408
11529a20686
12275a72368
1314c9ca350
14a9bdd720
15690d6e08
hex43414e80

1128353408 has 128 divisors (see below), whose sum is σ = 2806648320. Its totient is φ = 439934976.

The previous prime is 1128353381. The next prime is 1128353441. The reversal of 1128353408 is 8043538211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 849641 + ... + 850967.

It is an arithmetic number, because the mean of its divisors is an integer number (21926940).

Almost surely, 21128353408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1128353408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403324160).

1128353408 is an abundant number, since it is smaller than the sum of its proper divisors (1678294912).

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

1128353408 is a wasteful number, since it uses less digits than its factorization.

1128353408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 1128353408 is about 33590.9721204969. The cubic root of 1128353408 is about 1041.0742745546.

The spelling of 1128353408 in words is "one billion, one hundred twenty-eight million, three hundred fifty-three thousand, four hundred eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 73 91 104 112 128 146 182 208 224 292 364 416 448 511 584 728 832 896 949 1022 1168 1327 1456 1664 1898 2044 2336 2654 2912 3796 4088 4672 5308 5824 6643 7592 8176 9289 9344 10616 11648 13286 15184 16352 17251 18578 21232 26572 30368 32704 34502 37156 42464 53144 60736 65408 69004 74312 84928 96871 106288 120757 121472 138008 148624 169856 193742 212576 241514 276016 297248 387484 425152 483028 552032 594496 678097 774968 850304 966056 1104064 1188992 1259323 1356194 1549936 1932112 2208128 2518646 2712388 3099872 3864224 5037292 5424776 6199744 7728448 8815261 10074584 10849552 12399488 15456896 17630522 20149168 21699104 35261044 40298336 43398208 70522088 80596672 86796416 141044176 161193344 282088352 564176704 1128353408