Search a number
-
+
1334250304 = 26173973089
BaseRepresentation
bin100111110000111…
…0000101101000000
310102222121221022221
41033201300231000
510213032002204
6340221340424
745030640402
oct11741605500
93388557287
101334250304
11625171002
12312a07714
1318356a72a
14c92b8b72
157c208654
hex4f870b40

1334250304 has 56 divisors (see below), whose sum is σ = 2811368520. Its totient is φ = 626098176.

The previous prime is 1334250301. The next prime is 1334250329. The reversal of 1334250304 is 4030524331.

It can be written as a sum of positive squares in 4 ways, for example, as 786690304 + 547560000 = 28048^2 + 23400^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334250301) 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, 430392 + ... + 433480.

Almost surely, 21334250304 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 1334250304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405684260).

1334250304 is an abundant number, since it is smaller than the sum of its proper divisors (1477118216).

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

1334250304 is a wasteful number, since it uses less digits than its factorization.

1334250304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3515 (or 3505 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 1334250304 is about 36527.3911469188. The cubic root of 1334250304 is about 1100.8946726817.

Adding to 1334250304 its reverse (4030524331), we get a palindrome (5364774635).

The spelling of 1334250304 in words is "one billion, three hundred thirty-four million, two hundred fifty thousand, three hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 397 544 794 1088 1588 3089 3176 6178 6352 6749 12356 12704 13498 24712 25408 26996 49424 52513 53992 98848 105026 107984 197696 210052 215968 420104 431936 840208 1226333 1680416 2452666 3360832 4905332 9810664 19621328 20847661 39242656 41695322 78485312 83390644 166781288 333562576 667125152 1334250304