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114348432 = 24311216569
BaseRepresentation
bin1101101000011…
…01000110010000
321222011111120010
412310031012100
5213233122212
615202514520
72555642232
oct664150620
9258144503
10114348432
1159601740
1232365a40
131a8c86c3
1411288252
15a08b03c
hex6d0d190

114348432 has 40 divisors (see below), whose sum is σ = 322256160. Its totient is φ = 34650880.

The previous prime is 114348427. The next prime is 114348449. The reversal of 114348432 is 234843411.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 114348432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107757 + ... + 108812.

It is an arithmetic number, because the mean of its divisors is an integer number (8056404).

Almost surely, 2114348432 is an apocalyptic number.

114348432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114348432 is an abundant number, since it is smaller than the sum of its proper divisors (207907728).

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

114348432 is a wasteful number, since it uses less digits than its factorization.

114348432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216591 (or 216585 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 114348432 is about 10693.3826266528. The cubic root of 114348432 is about 485.3742560658.

The spelling of 114348432 in words is "one hundred fourteen million, three hundred forty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 216569 433138 649707 866276 1299414 1732552 2382259 2598828 3465104 4764518 5197656 7146777 9529036 10395312 14293554 19058072 28587108 38116144 57174216 114348432