Search a number
-
+
1364358112 = 251331472251
BaseRepresentation
bin101000101010010…
…0111001111100000
310112002021120110221
41101110213033200
510243233424422
6343214532424
745544565305
oct12124471740
93462246427
101364358112
11640165497
12320b07114
1318987c7c0
14cd2b50ac
157eba43c7
hex515273e0

1364358112 has 96 divisors (see below), whose sum is σ = 3050901504. Its totient is φ = 596160000.

The previous prime is 1364358097. The next prime is 1364358119. The reversal of 1364358112 is 2118534631.

It is a super-2 number, since 2×13643581122 = 3722946115560409088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1364358119) 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, 604987 + ... + 607237.

It is an arithmetic number, because the mean of its divisors is an integer number (31780224).

Almost surely, 21364358112 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 1364358112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525450752).

1364358112 is an abundant number, since it is smaller than the sum of its proper divisors (1686543392).

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

1364358112 is a wasteful number, since it uses less digits than its factorization.

1364358112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2352 (or 2344 counting only the distinct ones).

The product of its digits is 17280, while the sum is 34.

The square root of 1364358112 is about 36937.2185200781. The cubic root of 1364358112 is about 1109.1138429598.

The spelling of 1364358112 in words is "one billion, three hundred sixty-four million, three hundred fifty-eight thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 31 32 47 52 62 94 104 124 188 208 248 376 403 416 496 611 752 806 992 1222 1457 1504 1612 2251 2444 2914 3224 4502 4888 5828 6448 9004 9776 11656 12896 18008 18941 19552 23312 29263 36016 37882 46624 58526 69781 72032 75764 105797 117052 139562 151528 211594 234104 279124 303056 423188 468208 558248 606112 846376 907153 936416 1116496 1375361 1692752 1814306 2232992 2750722 3279707 3385504 3628612 5501444 6559414 7257224 11002888 13118828 14514448 22005776 26237656 29028896 42636191 44011552 52475312 85272382 104950624 170544764 341089528 682179056 1364358112