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3953417 = 132149157
BaseRepresentation
bin1111000101001100001001
321102212001212
433011030021
52003002132
6220422505
745413666
oct17051411
97385055
103953417
112260296
1213a7a35
13a85600
1474ca6d
155315b2
hex3c5309

3953417 has 12 divisors (see below), whose sum is σ = 4337100. Its totient is φ = 3601728.

The previous prime is 3953393. The next prime is 3953437. The reversal of 3953417 is 7143593.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1700416 + 2253001 = 1304^2 + 1501^2 .

It is not a de Polignac number, because 3953417 - 26 = 3953353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3953437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25103 + ... + 25259.

It is an arithmetic number, because the mean of its divisors is an integer number (361425).

Almost surely, 23953417 is an apocalyptic number.

It is an amenable number.

3953417 is a deficient number, since it is larger than the sum of its proper divisors (383683).

3953417 is a wasteful number, since it uses less digits than its factorization.

3953417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 319 counting only the distinct ones).

The product of its digits is 11340, while the sum is 32.

The square root of 3953417 is about 1988.3201452482. The cubic root of 3953417 is about 158.1214816404.

The spelling of 3953417 in words is "three million, nine hundred fifty-three thousand, four hundred seventeen".

Divisors: 1 13 149 157 169 1937 2041 23393 25181 26533 304109 3953417