Search a number
-
+
382481430 = 23583153607
BaseRepresentation
bin10110110011000…
…011010000010110
3222122201001212220
4112303003100112
51240403401210
6101541523210
712323016132
oct2663032026
9878631786
10382481430
1118699aa61
12a8113506
1361319796
1438b243c2
15238a2c70
hex16cc3416

382481430 has 32 divisors (see below), whose sum is σ = 929021184. Its totient is φ = 100765536.

The previous prime is 382481401. The next prime is 382481471. The reversal of 382481430 is 34184283.

It is a junction number, because it is equal to n+sod(n) for n = 382481391 and 382481400.

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 15 ways as a sum of consecutive naturals, for example, 74314 + ... + 79293.

It is an arithmetic number, because the mean of its divisors is an integer number (29031912).

Almost surely, 2382481430 is an apocalyptic number.

382481430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

382481430 is an abundant number, since it is smaller than the sum of its proper divisors (546539754).

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

382481430 is a wasteful number, since it uses less digits than its factorization.

382481430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153700.

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 382481430 is about 19557.1324585175. The cubic root of 382481430 is about 725.8888377184. Note that the first 4 decimals are identical.

The spelling of 382481430 in words is "three hundred eighty-two million, four hundred eighty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 83 166 249 415 498 830 1245 2490 153607 307214 460821 768035 921642 1536070 2304105 4608210 12749381 25498762 38248143 63746905 76496286 127493810 191240715 382481430