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114304752 = 24324716889
BaseRepresentation
bin1101101000000…
…10011011110000
321222002021122100
412310002123300
5213230223002
615201540400
72555401002
oct664023360
9258067570
10114304752
1159581941
1232344700
131a8b1863
1411276372
15a07d11c
hex6d026f0

114304752 has 60 divisors (see below), whose sum is σ = 326720160. Its totient is φ = 37288704.

The previous prime is 114304739. The next prime is 114304759. The reversal of 114304752 is 257403411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114304759) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1677 + ... + 15212.

It is an arithmetic number, because the mean of its divisors is an integer number (5445336).

Almost surely, 2114304752 is an apocalyptic number.

114304752 is a gapful number since it is divisible by the number (12) 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 114304752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163360080).

114304752 is an abundant number, since it is smaller than the sum of its proper divisors (212415408).

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

114304752 is a wasteful number, since it uses less digits than its factorization.

114304752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16950 (or 16941 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 114304752 is about 10691.3400469726. The cubic root of 114304752 is about 485.3124454307.

The spelling of 114304752 in words is "one hundred fourteen million, three hundred four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2256 3384 6768 16889 33778 50667 67556 101334 135112 152001 202668 270224 304002 405336 608004 793783 810672 1216008 1587566 2381349 2432016 3175132 4762698 6350264 7144047 9525396 12700528 14288094 19050792 28576188 38101584 57152376 114304752