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382133430 = 23357202187
BaseRepresentation
bin10110110001101…
…110010010110110
3222122001101112000
4112301232102312
51240311232210
6101530240130
712320036430
oct2661562266
9878041460
10382133430
11186782558
12a7b86046
1361227273
1438a73650
1523834ac0
hex16c6e4b6

382133430 has 64 divisors (see below), whose sum is σ = 1164602880. Its totient is φ = 87344352.

The previous prime is 382133413. The next prime is 382133441. The reversal of 382133430 is 34331283.

382133430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 382133394 and 382133403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99204 + ... + 102983.

It is an arithmetic number, because the mean of its divisors is an integer number (18196920).

Almost surely, 2382133430 is an apocalyptic number.

382133430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

382133430 is an abundant number, since it is smaller than the sum of its proper divisors (782469450).

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

382133430 is a wasteful number, since it uses less digits than its factorization.

382133430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202210 (or 202204 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 382133430 is about 19548.2334240207. The cubic root of 382133430 is about 725.6686213919.

The spelling of 382133430 in words is "three hundred eighty-two million, one hundred thirty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 202187 404374 606561 1010935 1213122 1415309 1819683 2021870 2830618 3032805 3639366 4245927 5459049 6065610 7076545 8491854 9098415 10918098 12737781 14153090 18196830 21229635 25475562 27295245 38213343 42459270 54590490 63688905 76426686 127377810 191066715 382133430