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382543140 = 22357910817
BaseRepresentation
bin10110110011010…
…010010100100100
3222122211012112110
4112303102110210
51240412340030
6101543121020
712323364060
oct2663222444
9878735473
10382543140
11186a32361
12a8143170
136133b8b5
1438b3caa0
15238b61b0
hex16cd2524

382543140 has 48 divisors (see below), whose sum is σ = 1224139392. Its totient is φ = 87438336.

The previous prime is 382543103. The next prime is 382543157. The reversal of 382543140 is 41345283.

It is a super-3 number, since 3×3825431403 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 382543098 and 382543107.

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, 454989 + ... + 455828.

It is an arithmetic number, because the mean of its divisors is an integer number (25502904).

Almost surely, 2382543140 is an apocalyptic number.

382543140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

382543140 is an abundant number, since it is smaller than the sum of its proper divisors (841596252).

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

382543140 is a wasteful number, since it uses less digits than its factorization.

382543140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910836 (or 910834 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 382543140 is about 19558.7100801663. The cubic root of 382543140 is about 725.9278742029.

The spelling of 382543140 in words is "three hundred eighty-two million, five hundred forty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 910817 1821634 2732451 3643268 4554085 5464902 6375719 9108170 10929804 12751438 13662255 18216340 19127157 25502876 27324510 31878595 38254314 54649020 63757190 76508628 95635785 127514380 191271570 382543140