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344146401 = 3423184727
BaseRepresentation
bin10100100000110…
…100000111100001
3212222120110010000
4110200310013201
51201100141101
654052130213
711346124164
oct2440640741
9788513100
10344146401
11167297315
1297306969
13563b6a31
14339c5adb
152032e486
hex148341e1

344146401 has 20 divisors (see below), whose sum is σ = 536450112. Its totient is φ = 219454488.

The previous prime is 344146379. The next prime is 344146409. The reversal of 344146401 is 104641443.

344146401 is a `hidden beast` number, since 3 + 4 + 4 + 14 + 640 + 1 = 666.

It is not a de Polignac number, because 344146401 - 27 = 344146273 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (344146409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 90501 + ... + 94226.

Almost surely, 2344146401 is an apocalyptic number.

It is an amenable number.

344146401 is a deficient number, since it is larger than the sum of its proper divisors (192303711).

344146401 is a wasteful number, since it uses less digits than its factorization.

344146401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184762 (or 184753 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 344146401 is about 18551.1832776241. The cubic root of 344146401 is about 700.7789973944.

Adding to 344146401 its reverse (104641443), we get a palindrome (448787844).

The spelling of 344146401 in words is "three hundred forty-four million, one hundred forty-six thousand, four hundred one".

Divisors: 1 3 9 23 27 69 81 207 621 1863 184727 554181 1662543 4248721 4987629 12746163 14962887 38238489 114715467 344146401