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948103380 = 22355729312
BaseRepresentation
bin111000100000101…
…110100011010100
32110002000122100000
4320200232203110
53420203302010
6234025051300
732331513540
oct7040564324
92402018300
10948103380
114471a8114
12225626b30
13121569723
148dcbca20
155837e7c0
hex3882e8d4

948103380 has 432 divisors, whose sum is σ = 3643436160. Its totient is φ = 202487040.

The previous prime is 948103369. The next prime is 948103397. The reversal of 948103380 is 83301849.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30583965 + ... + 30583995.

It is an arithmetic number, because the mean of its divisors is an integer number (8433880).

Almost surely, 2948103380 is an apocalyptic number.

948103380 is a gapful number since it is divisible by the number (90) 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 948103380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821718080).

948103380 is an abundant number, since it is smaller than the sum of its proper divisors (2695332780).

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

948103380 is a wasteful number, since it uses less digits than its factorization.

948103380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 948103380 is about 30791.2874040694. The cubic root of 948103380 is about 982.3929374627.

The spelling of 948103380 in words is "nine hundred forty-eight million, one hundred three thousand, three hundred eighty".