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114134384 = 24713431823
BaseRepresentation
bin1101100110110…
…00110101110000
321221202121221102
412303120311300
5213204300014
615154143532
72554061210
oct663306560
9257677842
10114134384
1159475941
1232281ba8
131a852150
1411230240
15a0478de
hex6cd8d70

114134384 has 80 divisors (see below), whose sum is σ = 278648832. Its totient is φ = 44077824.

The previous prime is 114134359. The next prime is 114134411. The reversal of 114134384 is 483431411.

It is a happy number.

It is a super-2 number, since 2×1141343842 = 26053315222118912, which contains 22 as substring.

It is a congruent number.

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, 61697 + ... + 63519.

Almost surely, 2114134384 is an apocalyptic number.

114134384 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 114134384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139324416).

114134384 is an abundant number, since it is smaller than the sum of its proper divisors (164514448).

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

114134384 is a wasteful number, since it uses less digits than its factorization.

114134384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894 (or 1888 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 114134384 is about 10683.3695059190. The cubic root of 114134384 is about 485.0712107151.

Adding to 114134384 its reverse (483431411), we get a palindrome (597565795).

The spelling of 114134384 in words is "one hundred fourteen million, one hundred thirty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 43 52 56 86 91 104 112 172 182 208 301 344 364 559 602 688 728 1118 1204 1456 1823 2236 2408 3646 3913 4472 4816 7292 7826 8944 12761 14584 15652 23699 25522 29168 31304 47398 51044 62608 78389 94796 102088 156778 165893 189592 204176 313556 331786 379184 548723 627112 663572 1019057 1097446 1254224 1327144 2038114 2194892 2654288 4076228 4389784 7133399 8152456 8779568 14266798 16304912 28533596 57067192 114134384