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2038401 = 32293773
BaseRepresentation
bin111110001101010000001
310211120011100
413301222001
51010212101
6111405013
723216601
oct7615201
93746140
102038401
111172532
12823769
13564a71
143b0c01
152a3e86
hex1f1a81

2038401 has 12 divisors (see below), whose sum is σ = 2958228. Its totient is φ = 1352544.

The previous prime is 2038373. The next prime is 2038403. The reversal of 2038401 is 1048302.

2038401 = T375 + T376 + ... + T401.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1040400 + 998001 = 1020^2 + 999^2 .

It is not a de Polignac number, because 2038401 - 25 = 2038369 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2038403) 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, 2251 + ... + 3023.

It is an arithmetic number, because the mean of its divisors is an integer number (246519).

22038401 is an apocalyptic number.

It is an amenable number.

2038401 is a deficient number, since it is larger than the sum of its proper divisors (919827).

2038401 is a wasteful number, since it uses less digits than its factorization.

2038401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2038401 is about 1427.7258140133. The cubic root of 2038401 is about 126.7933689109.

Subtracting from 2038401 its reverse (1048302), we obtain a palindrome (990099).

It can be divided in two parts, 203840 and 1, that added together give a triangular number (203841 = T638).

The spelling of 2038401 in words is "two million, thirty-eight thousand, four hundred one".

Divisors: 1 3 9 293 773 879 2319 2637 6957 226489 679467 2038401