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814190436 = 223223419661
BaseRepresentation
bin110000100001111…
…000111101100100
32002202001011022100
4300201320331210
53131413043221
6212442532100
726114335023
oct6041707544
92082034270
10814190436
11388653364
121a8807030
13cc8b0bb7
147a1c08ba
154b72b926
hex30878f64

814190436 has 36 divisors (see below), whose sum is σ = 2059184764. Its totient is φ = 271252800.

The previous prime is 814190411. The next prime is 814190437. The reversal of 814190436 is 634091418.

It can be written as a sum of positive squares in 2 ways, for example, as 171872100 + 642318336 = 13110^2 + 25344^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 814190436.

It is not an unprimeable number, because it can be changed into a prime (814190437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79446 + ... + 89106.

Almost surely, 2814190436 is an apocalyptic number.

It is an amenable number.

814190436 is an abundant number, since it is smaller than the sum of its proper divisors (1244994328).

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

814190436 is a wasteful number, since it uses less digits than its factorization.

814190436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12012 (or 12007 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 814190436 is about 28534.0224293737. The cubic root of 814190436 is about 933.7744764367.

The spelling of 814190436 in words is "eight hundred fourteen million, one hundred ninety thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 2341 4682 7023 9364 9661 14046 19322 21069 28092 28983 38644 42138 57966 84276 86949 115932 173898 347796 22616401 45232802 67849203 90465604 135698406 203547609 271396812 407095218 814190436