Search a number
-
+
114023328 = 25323113457
BaseRepresentation
bin1101100101111…
…01101110100000
321221112222121020
412302331232200
5213142221303
615151525440
72553116346
oct662755640
9257488536
10114023328
11593aa461
1232229880
131a813733
1411201996
15a024a53
hex6cbdba0

114023328 has 96 divisors (see below), whose sum is σ = 315778176. Its totient is φ = 35954688.

The previous prime is 114023321. The next prime is 114023333. The reversal of 114023328 is 823320411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 114023298 and 114023307.

It is not an unprimeable number, because it can be changed into a prime (114023321) 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, 249276 + ... + 249732.

It is an arithmetic number, because the mean of its divisors is an integer number (3289356).

Almost surely, 2114023328 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 114023328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157889088).

114023328 is an abundant number, since it is smaller than the sum of its proper divisors (201754848).

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

114023328 is a wasteful number, since it uses less digits than its factorization.

114023328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 114023328 is about 10678.1706298410. The cubic root of 114023328 is about 484.9138303000.

Adding to 114023328 its reverse (823320411), we get a palindrome (937343739).

The spelling of 114023328 in words is "one hundred fourteen million, twenty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 113 138 184 226 276 339 368 452 457 552 678 736 904 914 1104 1356 1371 1808 1828 2208 2599 2712 2742 3616 3656 5198 5424 5484 7312 7797 10396 10511 10848 10968 14624 15594 20792 21022 21936 31188 31533 41584 42044 43872 51641 62376 63066 83168 84088 103282 124752 126132 154923 168176 206564 249504 252264 309846 336352 413128 504528 619692 826256 1009056 1187743 1239384 1652512 2375486 2478768 3563229 4750972 4957536 7126458 9501944 14252916 19003888 28505832 38007776 57011664 114023328