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201408408 = 23322797339
BaseRepresentation
bin11000000000100…
…11111110011000
3112000222121101200
430000103332120
5403030032113
631552514200
74663641345
oct1400237630
9460877350
10201408408
11a3765133
125754b960
133295b396
141ca6b7cc
1512a36873
hexc013f98

201408408 has 24 divisors (see below), whose sum is σ = 545481300. Its totient is φ = 67136112.

The previous prime is 201408391. The next prime is 201408409. The reversal of 201408408 is 804804102.

201408408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201408409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1398598 + ... + 1398741.

Almost surely, 2201408408 is an apocalyptic number.

It is an amenable number.

201408408 is an abundant number, since it is smaller than the sum of its proper divisors (344072892).

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

201408408 is a wasteful number, since it uses less digits than its factorization.

201408408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2797351 (or 2797344 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 201408408 is about 14191.8430092783. The cubic root of 201408408 is about 586.1730745595.

The spelling of 201408408 in words is "two hundred one million, four hundred eight thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2797339 5594678 8392017 11189356 16784034 22378712 25176051 33568068 50352102 67136136 100704204 201408408