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114041304 = 233313172389
BaseRepresentation
bin1101100110000…
…10000111011000
321221120220021000
412303002013120
5213143310204
615152145000
72553222636
oct663020730
9257526230
10114041304
1159411a13
1232238160
131a81b980
1411208356
15a02a039
hex6cc21d8

114041304 has 128 divisors (see below), whose sum is σ = 361368000. Its totient is φ = 33011712.

The previous prime is 114041297. The next prime is 114041341. The reversal of 114041304 is 403140411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46542 + ... + 48930.

Almost surely, 2114041304 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 114041304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180684000).

114041304 is an abundant number, since it is smaller than the sum of its proper divisors (247326696).

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

114041304 is a wasteful number, since it uses less digits than its factorization.

114041304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 114041304 is about 10679.0123138800. The cubic root of 114041304 is about 484.9393114980.

Adding to 114041304 its reverse (403140411), we get a palindrome (517181715).

The spelling of 114041304 in words is "one hundred fourteen million, forty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 27 34 36 39 51 52 54 68 72 78 102 104 108 117 136 153 156 204 216 221 234 306 312 351 408 442 459 468 612 663 702 884 918 936 1224 1326 1404 1768 1836 1989 2389 2652 2808 3672 3978 4778 5304 5967 7167 7956 9556 11934 14334 15912 19112 21501 23868 28668 31057 40613 43002 47736 57336 62114 64503 81226 86004 93171 121839 124228 129006 162452 172008 186342 243678 248456 258012 279513 324904 365517 372684 487356 516024 527969 559026 731034 745368 838539 974712 1055938 1096551 1118052 1462068 1583907 1677078 2111876 2193102 2236104 2924136 3167814 3354156 4223752 4386204 4751721 6335628 6708312 8772408 9503442 12671256 14255163 19006884 28510326 38013768 57020652 114041304