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3358318401 = 344721372
BaseRepresentation
bin1100100000101011…
…1101111101000001
322200001021020210000
43020022331331001
523334212142101
61313124230213
7146136143514
oct31012757501
98601236700
103358318401
111473757359
1279883b369
134169c0a69
1423c03ad7b
15149c72486
hexc82bdf41

3358318401 has 45 divisors (see below), whose sum is σ = 5163444979. Its totient is φ = 2175248736.

The previous prime is 3358318393. The next prime is 3358318417. The reversal of 3358318401 is 1048138533.

The square root of 3358318401 is 57951.

It is a perfect power (a square), and thus also a powerful number.

3358318401 is a `hidden beast` number, since 33 + 583 + 1 + 8 + 40 + 1 = 666.

3358318401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1972692225 + 1385626176 = 44415^2 + 37224^2 .

It is not a de Polignac number, because 3358318401 - 23 = 3358318393 is a prime.

It is a super-2 number, since 2×33583184012 = 22556604964990393602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3358318441) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 24513205 + ... + 24513341.

Almost surely, 23358318401 is an apocalyptic number.

3358318401 is the 57951-st square number.

3358318401 is the 28976-th centered octagonal number.

It is an amenable number.

3358318401 is a deficient number, since it is larger than the sum of its proper divisors (1805126578).

3358318401 is an frugal number, since it uses more digits than its factorization.

3358318401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The cubic root of 3358318401 is about 1497.5245690751.

Multiplying 3358318401 by its sum of digits (36), we get a square (120899462436 = 3477062).

It can be divided in two parts, 33583 and 18401, that added together give a square (51984 = 2282).

The spelling of 3358318401 in words is "three billion, three hundred fifty-eight million, three hundred eighteen thousand, four hundred one".

Divisors: 1 3 9 27 47 81 137 141 411 423 1233 1269 2209 3699 3807 6439 6627 11097 18769 19317 19881 56307 57951 59643 168921 173853 178929 302633 506763 521559 882143 907899 1520289 2646429 2723697 7939287 8171091 23817861 24513273 41460721 71453583 124382163 373146489 1119439467 3358318401