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382464 = 293283
BaseRepresentation
bin1011101011000000000
3201102122100
41131120000
544214324
612110400
73152025
oct1353000
9642570
10382464
11241395
12165400
13105114
149d54c
15784c9
hex5d600

382464 has 60 divisors (see below), whose sum is σ = 1117116. Its totient is φ = 125952.

The previous prime is 382463. The next prime is 382493. The reversal of 382464 is 464283.

382464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3824642 = 292557422592, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4567 + ... + 4649.

2382464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558558).

382464 is an abundant number, since it is smaller than the sum of its proper divisors (734652).

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

382464 is an equidigital number, since it uses as much as digits as its factorization.

382464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 88 counting only the distinct ones).

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

The square root of 382464 is about 618.4367388828. The cubic root of 382464 is about 72.5877811096.

The spelling of 382464 in words is "three hundred eighty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 128 144 166 192 249 256 288 332 384 498 512 576 664 747 768 996 1152 1328 1494 1536 1992 2304 2656 2988 3984 4608 5312 5976 7968 10624 11952 15936 21248 23904 31872 42496 47808 63744 95616 127488 191232 382464