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114883384 = 237112959109
BaseRepresentation
bin1101101100011…
…11101100111000
322000011200101011
412312033230320
5213402232014
615222203304
72563330660
oct666175470
9260150334
10114883384
1159937650
1232583534
131aa55045
14113871a0
15a1447c4
hex6d8fb38

114883384 has 128 divisors (see below), whose sum is σ = 285120000. Its totient is φ = 42094080.

The previous prime is 114883357. The next prime is 114883387. The reversal of 114883384 is 483388411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114883387) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1053922 + ... + 1054030.

It is an arithmetic number, because the mean of its divisors is an integer number (2227500).

Almost surely, 2114883384 is an apocalyptic number.

114883384 is a gapful number since it is divisible by the number (14) 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 114883384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142560000).

114883384 is an abundant number, since it is smaller than the sum of its proper divisors (170236616).

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

114883384 is a wasteful number, since it uses less digits than its factorization.

114883384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 217 counting only the distinct ones).

The product of its digits is 73728, while the sum is 40.

The square root of 114883384 is about 10718.3666666148. The cubic root of 114883384 is about 486.1299815472.

The spelling of 114883384 in words is "one hundred fourteen million, eight hundred eighty-three thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 22 28 29 44 56 58 59 77 88 109 116 118 154 203 218 232 236 308 319 406 413 436 472 616 638 649 763 812 826 872 1199 1276 1298 1526 1624 1652 1711 2233 2398 2552 2596 3052 3161 3304 3422 4466 4543 4796 5192 6104 6322 6431 6844 8393 8932 9086 9592 11977 12644 12862 13688 16786 17864 18172 18821 22127 23954 25288 25724 33572 34771 36344 37642 44254 45017 47908 51448 67144 69542 70741 75284 88508 90034 95816 131747 139084 141482 150568 177016 180068 186499 243397 263494 278168 282964 360136 372998 486794 495187 526988 565928 745996 973588 990374 1053976 1305493 1491992 1947176 1980748 2051489 2610986 3961496 4102978 5221972 8205956 10443944 14360423 16411912 28720846 57441692 114883384