Search a number
-
+
1331398824 = 233737214189
BaseRepresentation
bin100111101011011…
…1000100010101000
310102210021001211120
41033112320202220
510211314230244
6340040255240
744664463140
oct11726704250
93383231746
101331398824
116235a3708
12311a71520
13182aac872
14c8b75920
157bd43819
hex4f5b88a8

1331398824 has 64 divisors (see below), whose sum is σ = 3906825600. Its totient is φ = 370116864.

The previous prime is 1331398823. The next prime is 1331398841. The reversal of 1331398824 is 4288931331.

It is a super-3 number, since 3×13313988243 (a number of 28 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1331398823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100879 + ... + 113310.

It is an arithmetic number, because the mean of its divisors is an integer number (61044150).

Almost surely, 21331398824 is an apocalyptic number.

1331398824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1331398824 is an abundant number, since it is smaller than the sum of its proper divisors (2575426776).

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

1331398824 is a wasteful number, since it uses less digits than its factorization.

1331398824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214242 (or 214238 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 1331398824 is about 36488.3381918114. The cubic root of 1331398824 is about 1100.1098578986.

The spelling of 1331398824 in words is "one billion, three hundred thirty-one million, three hundred ninety-eight thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 444 518 777 888 1036 1554 2072 3108 6216 214189 428378 642567 856756 1285134 1499323 1713512 2570268 2998646 4497969 5140536 5997292 7924993 8995938 11994584 15849986 17991876 23774979 31699972 35983752 47549958 55474951 63399944 95099916 110949902 166424853 190199832 221899804 332849706 443799608 665699412 1331398824