Search a number
-
+
742645068 = 22311172314389
BaseRepresentation
bin101100010000111…
…101110101001100
31220202102021111220
4230100331311030
53010104120233
6201405243340
724255243654
oct5420756514
91822367456
10742645068
11351227260
12188863550
13bab20b69
14708b9364
15452e7eb3
hex2c43dd4c

742645068 has 96 divisors (see below), whose sum is σ = 2088737280. Its totient is φ = 202583040.

The previous prime is 742645061. The next prime is 742645087. The reversal of 742645068 is 860546247.

742645068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (742645061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44418 + ... + 58806.

It is an arithmetic number, because the mean of its divisors is an integer number (21757680).

Almost surely, 2742645068 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 742645068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044368640).

742645068 is an abundant number, since it is smaller than the sum of its proper divisors (1346092212).

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

742645068 is a wasteful number, since it uses less digits than its factorization.

742645068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14447 (or 14445 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 742645068 is about 27251.5149670619. The cubic root of 742645068 is about 905.5805796127.

The spelling of 742645068 in words is "seven hundred forty-two million, six hundred forty-five thousand, sixty-eight".

Divisors: 1 2 3 4 6 11 12 17 22 23 33 34 44 46 51 66 68 69 92 102 132 138 187 204 253 276 374 391 506 561 748 759 782 1012 1122 1173 1518 1564 2244 2346 3036 4301 4692 8602 12903 14389 17204 25806 28778 43167 51612 57556 86334 158279 172668 244613 316558 330947 474837 489226 633116 661894 733839 949674 978452 992841 1323788 1467678 1899348 1985682 2690743 2935356 3640417 3971364 5381486 5626099 7280834 8072229 10762972 10921251 11252198 14561668 16144458 16878297 21842502 22504396 32288916 33756594 43685004 61887089 67513188 123774178 185661267 247548356 371322534 742645068