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1338574864 = 241143832131
BaseRepresentation
bin100111111001001…
…0000100000010000
310110021202122111211
41033302100200100
510220133343424
6340454145504
745112461424
oct11762204020
93407678454
101338574864
11627655120
12314352294
13184422c43
14c9ac2b84
157c7aeb94
hex4fc90810

1338574864 has 80 divisors (see below), whose sum is σ = 2931312384. Its totient is φ = 586857600.

The previous prime is 1338574859. The next prime is 1338574873. The reversal of 1338574864 is 4684758331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 627079 + ... + 629209.

Almost surely, 21338574864 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 1338574864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465656192).

1338574864 is an abundant number, since it is smaller than the sum of its proper divisors (1592737520).

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

1338574864 is a wasteful number, since it uses less digits than its factorization.

1338574864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 2270 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 49.

The square root of 1338574864 is about 36586.5393826746. The cubic root of 1338574864 is about 1102.0827932434.

The spelling of 1338574864 in words is "one billion, three hundred thirty-eight million, five hundred seventy-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 43 44 83 86 88 166 172 176 332 344 473 664 688 913 946 1328 1826 1892 2131 3569 3652 3784 4262 7138 7304 7568 8524 14276 14608 17048 23441 28552 34096 39259 46882 57104 78518 91633 93764 157036 176873 183266 187528 314072 353746 366532 375056 628144 707492 733064 1007963 1414984 1466128 1945603 2015926 2829968 3891206 4031852 7605539 7782412 8063704 15211078 15564824 16127408 30422156 31129648 60844312 83660929 121688624 167321858 334643716 669287432 1338574864