Search a number
-
+
1334821032 = 23346133769
BaseRepresentation
bin100111110001111…
…1100000010101000
310110000200221020000
41033203330002220
510213203233112
6340241503000
745035535336
oct11743740250
93400627200
101334821032
11625520886
12313041a60
1318370a43c
14c93c6b56
157c2bc7dc
hex4f8fc0a8

1334821032 has 80 divisors (see below), whose sum is σ = 3800138100. Its totient is φ = 437633280.

The previous prime is 1334821027. The next prime is 1334821039. The reversal of 1334821032 is 2301284331.

It can be written as a sum of positive squares in 2 ways, for example, as 1318125636 + 16695396 = 36306^2 + 4086^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1334820987 and 1334821005.

It is not an unprimeable number, because it can be changed into a prime (1334821039) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22644 + ... + 56412.

Almost surely, 21334821032 is an apocalyptic number.

1334821032 is a gapful number since it is divisible by the number (12) 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 1334821032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900069050).

1334821032 is an abundant number, since it is smaller than the sum of its proper divisors (2465317068).

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

1334821032 is a wasteful number, since it uses less digits than its factorization.

1334821032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33848 (or 33835 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1334821032 is about 36535.2026407409. The cubic root of 1334821032 is about 1101.0516202067.

The spelling of 1334821032 in words is "one billion, three hundred thirty-four million, eight hundred twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 81 108 122 162 183 216 244 324 366 488 549 648 732 1098 1464 1647 2196 3294 4392 4941 6588 9882 13176 19764 33769 39528 67538 101307 135076 202614 270152 303921 405228 607842 810456 911763 1215684 1823526 2059909 2431368 2735289 3647052 4119818 5470578 6179727 7294104 8239636 10941156 12359454 16479272 18539181 21882312 24718908 37078362 49437816 55617543 74156724 111235086 148313448 166852629 222470172 333705258 444940344 667410516 1334821032