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1348290384 = 24374012769
BaseRepresentation
bin101000001011101…
…0100011101010000
310110222001020200220
41100113110131100
510230130243014
6341442313040
745261164520
oct12027243520
93428036626
101348290384
11632090581
12317658780
1318644517c
14cb0d1680
157d57d6a9
hex505d4750

1348290384 has 40 divisors (see below), whose sum is σ = 3980667840. Its totient is φ = 385225728.

The previous prime is 1348290367. The next prime is 1348290389. The reversal of 1348290384 is 4830928431.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1348290389) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2006049 + ... + 2006720.

It is an arithmetic number, because the mean of its divisors is an integer number (99516696).

Almost surely, 21348290384 is an apocalyptic number.

1348290384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1348290384 is an abundant number, since it is smaller than the sum of its proper divisors (2632377456).

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

1348290384 is a wasteful number, since it uses less digits than its factorization.

1348290384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4012787 (or 4012781 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 1348290384 is about 36719.0738445294. The cubic root of 1348290384 is about 1104.7427133149.

The spelling of 1348290384 in words is "one billion, three hundred forty-eight million, two hundred ninety thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 4012769 8025538 12038307 16051076 24076614 28089383 32102152 48153228 56178766 64204304 84268149 96306456 112357532 168536298 192612912 224715064 337072596 449430128 674145192 1348290384