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418073364 = 223211613149
BaseRepresentation
bin11000111010110…
…100101100010100
31002010200022211200
4120322310230110
51324011321424
6105252432500
713234364532
oct3072645424
91063608750
10418073364
111a4a9a785
12b8018730
13687cbab7
143d74b152
1526a838c9
hex18eb4b14

418073364 has 18 divisors (see below), whose sum is σ = 1056796650. Its totient is φ = 139357776.

The previous prime is 418073363. The next prime is 418073389. The reversal of 418073364 is 463370814.

It can be written as a sum of positive squares in only one way, i.e., 349316100 + 68757264 = 18690^2 + 8292^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 11613149 = 418073364 / (4 + 1 + 8 + 0 + 7 + 3 + 3 + 6 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (418073363) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5806539 + ... + 5806610.

It is an arithmetic number, because the mean of its divisors is an integer number (58710925).

Almost surely, 2418073364 is an apocalyptic number.

It is an amenable number.

418073364 is an abundant number, since it is smaller than the sum of its proper divisors (638723286).

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

418073364 is a wasteful number, since it uses less digits than its factorization.

418073364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11613159 (or 11613154 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 418073364 is about 20446.8423968103. The cubic root of 418073364 is about 747.7403776461.

The spelling of 418073364 in words is "four hundred eighteen million, seventy-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 11613149 23226298 34839447 46452596 69678894 104518341 139357788 209036682 418073364