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945427364 = 227841
BaseRepresentation
bin111000010110100…
…001001110100100
32102212222200112022
4320112201032210
53414012133424
6233451442312
732300000000
oct7026411644
92385880468
10945427364
1144573a632
12224756398
13120b4069b
148d7c3700
155800195e
hex385a13a4

945427364 has 54 divisors (see below), whose sum is σ = 1977326694. Its totient is φ = 395300640.

The previous prime is 945427361. The next prime is 945427411. The reversal of 945427364 is 463724549.

It can be written as a sum of positive squares in only one way, i.e., 576480100 + 368947264 = 24010^2 + 19208^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (945427361) 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 17 ways as a sum of consecutive naturals, for example, 23059184 + ... + 23059224.

It is an arithmetic number, because the mean of its divisors is an integer number (36617161).

Almost surely, 2945427364 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 945427364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988663347).

945427364 is an abundant number, since it is smaller than the sum of its proper divisors (1031899330).

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

945427364 is an frugal number, since it uses more digits than its factorization.

945427364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 50 counting only the distinct ones).

The product of its digits is 725760, while the sum is 44.

The square root of 945427364 is about 30747.8025881525. The cubic root of 945427364 is about 981.4678004960.

The spelling of 945427364 in words is "nine hundred forty-five million, four hundred twenty-seven thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 28 41 49 82 98 164 196 287 343 574 686 1148 1372 2009 2401 4018 4802 8036 9604 14063 16807 28126 33614 56252 67228 98441 117649 196882 235298 393764 470596 689087 823543 1378174 1647086 2756348 3294172 4823609 5764801 9647218 11529602 19294436 23059204 33765263 67530526 135061052 236356841 472713682 945427364