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814957380 = 223254527541
BaseRepresentation
bin110000100100110…
…100001101000100
32002210111010100200
4300210310031010
53132112114010
6212511210500
726124011016
oct6044641504
92083433320
10814957380
113890275a6
121a8b16a30
13ccabc003
147a3401b6
154b82dcc0
hex30934344

814957380 has 36 divisors (see below), whose sum is σ = 2472037932. Its totient is φ = 217321920.

The previous prime is 814957379. The next prime is 814957397. The reversal of 814957380 is 83759418.

814957380 is a `hidden beast` number, since 81 + 495 + 7 + 3 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 596922624 + 218034756 = 24432^2 + 14766^2 .

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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2263591 + ... + 2263950.

Almost surely, 2814957380 is an apocalyptic number.

It is an amenable number.

814957380 is an abundant number, since it is smaller than the sum of its proper divisors (1657080552).

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

814957380 is a wasteful number, since it uses less digits than its factorization.

814957380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4527556 (or 4527551 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 814957380 is about 28547.4583807386. The cubic root of 814957380 is about 934.0675806676.

The spelling of 814957380 in words is "eight hundred fourteen million, nine hundred fifty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 4527541 9055082 13582623 18110164 22637705 27165246 40747869 45275410 54330492 67913115 81495738 90550820 135826230 162991476 203739345 271652460 407478690 814957380