Search a number
-
+
63440384 = 29731571
BaseRepresentation
bin1111001000000…
…0011000000000
311102101002211212
43302000120000
5112220043014
610143425252
71400143250
oct362003000
9142332755
1063440384
11328a0777
12192b5228
13101b2bb7
1485d5960
15588223e
hex3c80600

63440384 has 80 divisors (see below), whose sum is σ = 149799936. Its totient is φ = 26265600.

The previous prime is 63440381. The next prime is 63440389. The reversal of 63440384 is 48304436.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 63440384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63440381) 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 7 ways as a sum of consecutive naturals, for example, 110819 + ... + 111389.

Almost surely, 263440384 is an apocalyptic number.

63440384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63440384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74899968).

63440384 is an abundant number, since it is smaller than the sum of its proper divisors (86359552).

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

63440384 is an equidigital number, since it uses as much as digits as its factorization.

63440384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 63440384 is about 7964.9472063536. The cubic root of 63440384 is about 398.8307186165.

The spelling of 63440384 in words is "sixty-three million, four hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 512 571 868 896 992 1142 1736 1792 1984 2284 3472 3584 3968 3997 4568 6944 7936 7994 9136 13888 15872 15988 17701 18272 27776 31976 35402 36544 55552 63952 70804 73088 111104 123907 127904 141608 146176 247814 255808 283216 292352 495628 511616 566432 991256 1023232 1132864 1982512 2046464 2265728 3965024 4531456 7930048 9062912 15860096 31720192 63440384