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418220676 = 223211617241
BaseRepresentation
bin11000111011011…
…000101010000100
31002010221210220200
4120323120222010
51324031030201
6105255530500
713235550156
oct3073305204
91063853820
10418220676
111a5090425
12b8089a30
1368850b73
143d788ad6
1526ab2386
hex18ed8a84

418220676 has 18 divisors (see below), whose sum is σ = 1057169022. Its totient is φ = 139406880.

The previous prime is 418220599. The next prime is 418220681. The reversal of 418220676 is 676022814.

It can be written as a sum of positive squares in only one way, i.e., 263218176 + 155002500 = 16224^2 + 12450^2 .

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

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: 11617241 = 418220676 / (4 + 1 + 8 + 2 + 2 + 0 + 6 + 7 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 418220676.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 5808585 + ... + 5808656.

Almost surely, 2418220676 is an apocalyptic number.

It is an amenable number.

418220676 is an abundant number, since it is smaller than the sum of its proper divisors (638948346).

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

418220676 is a wasteful number, since it uses less digits than its factorization.

418220676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11617251 (or 11617246 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 418220676 is about 20450.4443961494. Note that the first 3 decimals coincide. The cubic root of 418220676 is about 747.8281917356.

The spelling of 418220676 in words is "four hundred eighteen million, two hundred twenty thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 11617241 23234482 34851723 46468964 69703446 104555169 139406892 209110338 418220676