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114435328 = 287193361
BaseRepresentation
bin1101101001000…
…10010100000000
321222022220202111
412310202110000
5213243412303
615204425104
72556453460
oct664422400
9258286674
10114435328
1159660a57
12323a8194
131a929117
14112abba0
15a0a6b6d
hex6d22500

114435328 has 72 divisors (see below), whose sum is σ = 274877120. Its totient is φ = 46448640.

The previous prime is 114435289. The next prime is 114435331. The reversal of 114435328 is 823534411.

It is a self number, because there is not a number n which added to its sum of digits gives 114435328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32368 + ... + 35728.

Almost surely, 2114435328 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 114435328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137438560).

114435328 is an abundant number, since it is smaller than the sum of its proper divisors (160441792).

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

114435328 is an equidigital number, since it uses as much as digits as its factorization.

114435328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3403 (or 3389 counting only the distinct ones).

The product of its digits is 11520, while the sum is 31.

The square root of 114435328 is about 10697.4449285799. Note that the first 3 decimals coincide. The cubic root of 114435328 is about 485.4971739503.

Adding to 114435328 its reverse (823534411), we get a palindrome (937969739).

The spelling of 114435328 in words is "one hundred fourteen million, four hundred thirty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 448 532 608 896 1064 1216 1792 2128 2432 3361 4256 4864 6722 8512 13444 17024 23527 26888 34048 47054 53776 63859 94108 107552 127718 188216 215104 255436 376432 430208 447013 510872 752864 860416 894026 1021744 1505728 1788052 2043488 3011456 3576104 4086976 6022912 7152208 8173952 14304416 16347904 28608832 57217664 114435328