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384979820 = 225374711069
BaseRepresentation
bin10110111100100…
…101001101101100
3222211102000000212
4112330211031230
51242023323240
6102111241552
712353163101
oct2674451554
9884360025
10384979820
11188347045
12a8b192b8
13619b2a14
14391b4aa8
1523be8165
hex16f2536c

384979820 has 48 divisors (see below), whose sum is σ = 848050560. Its totient is φ = 146628864.

The previous prime is 384979801. The next prime is 384979849. The reversal of 384979820 is 28979483.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29246 + ... + 40314.

It is an arithmetic number, because the mean of its divisors is an integer number (17667720).

Almost surely, 2384979820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384979820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424025280).

384979820 is an abundant number, since it is smaller than the sum of its proper divisors (463070740).

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

384979820 is a wasteful number, since it uses less digits than its factorization.

384979820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11162 (or 11160 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 50.

The square root of 384979820 is about 19620.9026295938. The cubic root of 384979820 is about 727.4659242511.

The spelling of 384979820 in words is "three hundred eighty-four million, nine hundred seventy-nine thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 37 47 74 94 148 185 188 235 370 470 740 940 1739 3478 6956 8695 11069 17390 22138 34780 44276 55345 110690 221380 409553 520243 819106 1040486 1638212 2047765 2080972 2601215 4095530 5202430 8191060 10404860 19248991 38497982 76995964 96244955 192489910 384979820