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3840331248 = 2432132051459
BaseRepresentation
bin1110010011100110…
…1100110111110000
3100220122021001002200
43210321230313300
530331111044443
61433023343200
7164111164005
oct34471546760
910818231080
103840331248
1116a0848786
128b2151b00
13492818970
1428606d8ac
15177235dd3
hexe4e6cdf0

3840331248 has 60 divisors (see below), whose sum is σ = 11574337320. Its totient is φ = 1181639808.

The previous prime is 3840331241. The next prime is 3840331289. The reversal of 3840331248 is 8421330483.

It is a happy number.

3840331248 is a `hidden beast` number, since 3 + 8 + 403 + 3 + 1 + 248 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3840331241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1023858 + ... + 1027601.

It is an arithmetic number, because the mean of its divisors is an integer number (192905622).

Almost surely, 23840331248 is an apocalyptic number.

It is an amenable number.

3840331248 is an abundant number, since it is smaller than the sum of its proper divisors (7734006072).

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

3840331248 is a wasteful number, since it uses less digits than its factorization.

3840331248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2051486 (or 2051477 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3840331248 is about 61970.4062274889. The cubic root of 3840331248 is about 1565.9920826755.

The spelling of 3840331248 in words is "three billion, eight hundred forty million, three hundred thirty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 2051459 4102918 6154377 8205836 12308754 16411672 18463131 24617508 26668967 32823344 36926262 49235016 53337934 73852524 80006901 98470032 106675868 147705048 160013802 213351736 240020703 295410096 320027604 426703472 480041406 640055208 960082812 1280110416 1920165624 3840331248