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114460388 = 22717376797
BaseRepresentation
bin1101101001010…
…00011011100100
321222101012010122
412310220123210
5213300213023
615205141112
72556616520
oct664503344
9258335118
10114460388
1159678869
12323ba798
131a937653
14112b6d80
15a0ae2c8
hex6d286e4

114460388 has 96 divisors (see below), whose sum is σ = 255257856. Its totient is φ = 43794432.

The previous prime is 114460343. The next prime is 114460391. The reversal of 114460388 is 883064411.

It is a super-2 number, since 2×1144603882 = 26202360842221088, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1179956 + ... + 1180052.

It is an arithmetic number, because the mean of its divisors is an integer number (2658936).

Almost surely, 2114460388 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 114460388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127628928).

114460388 is an abundant number, since it is smaller than the sum of its proper divisors (140797468).

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

114460388 is a wasteful number, since it uses less digits than its factorization.

114460388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 114460388 is about 10698.6161721972. The cubic root of 114460388 is about 485.5326107669.

The spelling of 114460388 in words is "one hundred fourteen million, four hundred sixty thousand, three hundred eighty-eight".

Divisors: 1 2 4 7 14 17 28 34 37 67 68 74 97 119 134 148 194 238 259 268 388 469 476 518 629 679 938 1036 1139 1258 1358 1649 1876 2278 2479 2516 2716 3298 3589 4403 4556 4958 6499 6596 7178 7973 8806 9916 11543 12998 14356 15946 17353 17612 23086 25123 25996 31892 34706 42143 45493 46172 50246 61013 69412 84286 90986 100492 110483 122026 168572 181972 220966 240463 244052 295001 427091 441932 480926 590002 773381 854182 961852 1180004 1546762 1683241 1708364 3093524 3366482 4087871 6732964 8175742 16351484 28615097 57230194 114460388