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2384480920 = 235298592393
BaseRepresentation
bin1000111000100000…
…0100101010011000
320011011211011220011
42032020010222120
514340411342140
61032335411304
7113042516263
oct21610045230
96134734804
102384480920
111013a82898
12566683b34
132c0013c73
1418897dcda
15de50ccea
hex8e204a98

2384480920 has 64 divisors (see below), whose sum is σ = 5558868000. Its totient is φ = 919446528.

The previous prime is 2384480887. The next prime is 2384480927. The reversal of 2384480920 is 290844832.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2384480927) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 995244 + ... + 997636.

Almost surely, 22384480920 is an apocalyptic number.

2384480920 is a gapful number since it is divisible by the number (20) 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 2384480920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779434000).

2384480920 is an abundant number, since it is smaller than the sum of its proper divisors (3174387080).

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

2384480920 is a wasteful number, since it uses less digits than its factorization.

2384480920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3292 (or 3288 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 2384480920 is about 48831.1470272817. The cubic root of 2384480920 is about 1335.9738287749.

The spelling of 2384480920 in words is "two billion, three hundred eighty-four million, four hundred eighty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 859 1160 1718 2393 3436 4295 4786 6872 8590 9572 11965 17180 19144 23930 24911 34360 47860 49822 69397 95720 99644 124555 138794 199288 249110 277588 346985 498220 555176 693970 996440 1387940 2055587 2775880 4111174 8222348 10277935 16444696 20555870 41111740 59612023 82223480 119224046 238448092 298060115 476896184 596120230 1192240460 2384480920