Search a number
-
+
386022420 = 223257306367
BaseRepresentation
bin10111000000100…
…011110000010100
3222220100222012200
4113000203300110
51242310204140
6102145444500
712365064540
oct2700436024
9886328180
10386022420
111889993a3
12a9340730
1361c89444
14393a6a20
1523d52030
hex17023c14

386022420 has 72 divisors (see below), whose sum is σ = 1338215424. Its totient is φ = 88233408.

The previous prime is 386022407. The next prime is 386022433. The reversal of 386022420 is 24220683.

386022420 is a `hidden beast` number, since 38 + 602 + 2 + 4 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (386022407) and next prime (386022433).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 151924 + ... + 154443.

Almost surely, 2386022420 is an apocalyptic number.

386022420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

386022420 is an abundant number, since it is smaller than the sum of its proper divisors (952193004).

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

386022420 is a wasteful number, since it uses less digits than its factorization.

386022420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306389 (or 306384 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 386022420 is about 19647.4532700806. The cubic root of 386022420 is about 728.1220385716.

The spelling of 386022420 in words is "three hundred eighty-six million, twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 306367 612734 919101 1225468 1531835 1838202 2144569 2757303 3063670 3676404 4289138 4595505 5514606 6127340 6433707 8578276 9191010 10722845 11029212 12867414 13786515 18382020 19301121 21445690 25734828 27573030 32168535 38602242 42891380 55146060 64337070 77204484 96505605 128674140 193011210 386022420