Search a number
-
+
1114034688 = 2933136199
BaseRepresentation
bin100001001100110…
…1101001000000000
32212122020211022000
41002121231020000
54240143102223
6302313344000
736415065354
oct10231551000
92778224260
101114034688
11521930828
12271108000
13149a55b30
14a7d53464
1567c09543
hex4266d200

1114034688 has 160 divisors (see below), whose sum is σ = 3551856000. Its totient is φ = 342724608.

The previous prime is 1114034653. The next prime is 1114034689. The reversal of 1114034688 is 8864304111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1114034689) 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, 176613 + ... + 182811.

It is an arithmetic number, because the mean of its divisors is an integer number (22199100).

Almost surely, 21114034688 is an apocalyptic number.

1114034688 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 1114034688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775928000).

1114034688 is an abundant number, since it is smaller than the sum of its proper divisors (2437821312).

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

1114034688 is an equidigital number, since it uses as much as digits as its factorization.

1114034688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6239 (or 6217 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1114034688 is about 33377.1581774123. The cubic root of 1114034688 is about 1036.6517963746.

Adding to 1114034688 its reverse (8864304111), we get a palindrome (9978338799).

The spelling of 1114034688 in words is "one billion, one hundred fourteen million, thirty-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 512 576 624 702 768 832 864 936 1152 1248 1404 1536 1664 1728 1872 2304 2496 2808 3328 3456 3744 4608 4992 5616 6199 6656 6912 7488 9984 11232 12398 13824 14976 18597 19968 22464 24796 29952 37194 44928 49592 55791 59904 74388 80587 89856 99184 111582 148776 161174 167373 179712 198368 223164 241761 297552 322348 334746 396736 446328 483522 595104 644696 669492 725283 793472 892656 967044 1190208 1289392 1338984 1450566 1586944 1785312 1934088 2175849 2380416 2578784 2677968 2901132 3173888 3570624 3868176 4351698 4760832 5157568 5355936 5802264 7141248 7736352 8703396 9521664 10315136 10711872 11604528 14282496 15472704 17406792 20630272 21423744 23209056 28564992 30945408 34813584 41260544 42847488 46418112 61890816 69627168 85694976 92836224 123781632 139254336 185672448 278508672 371344896 557017344 1114034688