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364144034484 = 22341123901341
BaseRepresentation
bin1010100110010001010…
…11010000001010110100
31021210220211020121010000
411103020223100022310
521431231333100414
6435141354231300
735210554136256
oct5231053201264
91253824217100
10364144034484
111304838a584a
125a6a7125530
1328452c9acb9
14138a611dcd6
159713b38b09
hex54c8ad02b4

364144034484 has 30 divisors (see below), whose sum is σ = 951944436674. Its totient is φ = 121381344720.

The previous prime is 364144034483. The next prime is 364144034503. The reversal of 364144034484 is 484430441463.

364144034484 is a `hidden beast` number, since 3 + 64 + 144 + 0 + 3 + 448 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 336541534884 + 27602499600 = 580122^2 + 166140^2 .

It is a super-3 number, since 3×3641440344843 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364144034483) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 561950347 + ... + 561950994.

Almost surely, 2364144034484 is an apocalyptic number.

It is an amenable number.

364144034484 is an abundant number, since it is smaller than the sum of its proper divisors (587800402190).

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

364144034484 is a wasteful number, since it uses less digits than its factorization.

364144034484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123901357 (or 1123901346 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 45.

The spelling of 364144034484 in words is "three hundred sixty-four billion, one hundred forty-four million, thirty-four thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 1123901341 2247802682 3371704023 4495605364 6743408046 10115112069 13486816092 20230224138 30345336207 40460448276 60690672414 91036008621 121381344828 182072017242 364144034484