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109448352 = 253213233141
BaseRepresentation
bin1101000011000…
…00110010100000
321121221112220200
412201200302200
5211004321402
614505505200
72466203256
oct641406240
9247845820
10109448352
1156865192
12307a2200
13198a1250
14107705d6
15991e21c
hex6860ca0

109448352 has 288 divisors, whose sum is σ = 369847296. Its totient is φ = 30412800.

The previous prime is 109448351. The next prime is 109448357. The reversal of 109448352 is 253844901.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (109448351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2669452 + ... + 2669492.

It is an arithmetic number, because the mean of its divisors is an integer number (1284192).

Almost surely, 2109448352 is an apocalyptic number.

109448352 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 109448352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184923648).

109448352 is an abundant number, since it is smaller than the sum of its proper divisors (260398944).

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

109448352 is a wasteful number, since it uses less digits than its factorization.

109448352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 109448352 is about 10461.7566402588. The cubic root of 109448352 is about 478.3396802432.

The spelling of 109448352 in words is "one hundred nine million, four hundred forty-eight thousand, three hundred fifty-two".