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945378009 = 323722772
BaseRepresentation
bin111000010110010…
…101001011011001
32102212220011211100
4320112111023121
53414004044014
6233450422013
732266403052
oct7026251331
92385804740
10945378009
11445706544
12224731909
13120b24094
148d7ad729
1557ee2009
hex385952d9

945378009 has 27 divisors (see below), whose sum is σ = 1408535037. Its totient is φ = 611004384.

The previous prime is 945377977. The next prime is 945378011. The reversal of 945378009 is 900873549.

The square root of 945378009 is 30747.

It is a perfect power (a square), and thus also a powerful number.

945378009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9018009 + 936360000 = 3003^2 + 30600^2 .

It is not a de Polignac number, because 945378009 - 25 = 945377977 is a prime.

It is a super-3 number, since 3×9453780093 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (945378029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3412779 + ... + 3413055.

Almost surely, 2945378009 is an apocalyptic number.

945378009 is the 30747-th square number.

945378009 is the 15374-th centered octagonal number.

It is an amenable number.

945378009 is a deficient number, since it is larger than the sum of its proper divisors (463157028).

945378009 is an equidigital number, since it uses as much as digits as its factorization.

945378009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The cubic root of 945378009 is about 981.4507213816.

The spelling of 945378009 in words is "nine hundred forty-five million, three hundred seventy-eight thousand, nine".

Divisors: 1 3 9 37 111 277 333 831 1369 2493 4107 10249 12321 30747 76729 92241 230187 379213 690561 1137639 2838973 3412917 8516919 25550757 105042001 315126003 945378009