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112834440 = 2332517103179
BaseRepresentation
bin1101011100110…
…11011110001000
321212022120202100
412232123132020
5212341200230
615110233400
72540035245
oct656333610
9255276670
10112834440
1158768204
1231955860
131a4b8554
1410db25cc
159d8c660
hex6b9b788

112834440 has 192 divisors, whose sum is σ = 394243200. Its totient is φ = 27887616.

The previous prime is 112834439. The next prime is 112834459. The reversal of 112834440 is 44438211.

It is a super-2 number, since 2×1128344402 = 25463221700227200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 630271 + ... + 630449.

It is an arithmetic number, because the mean of its divisors is an integer number (2053350).

Almost surely, 2112834440 is an apocalyptic number.

112834440 is a gapful number since it is divisible by the number (10) 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 112834440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197121600).

112834440 is an abundant number, since it is smaller than the sum of its proper divisors (281408760).

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

112834440 is a wasteful number, since it uses less digits than its factorization.

112834440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 112834440 is about 10622.3556709423. The cubic root of 112834440 is about 483.2225868606. Note that the first 3 decimals are identical.

The spelling of 112834440 in words is "one hundred twelve million, eight hundred thirty-four thousand, four hundred forty".