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324144401 = 7314136433
BaseRepresentation
bin10011010100100…
…000110100010001
3211120221020112012
4103110200310101
51130440110101
652055312305
711014116260
oct2324406421
9746836465
10324144401
11156a75539
129067b695
1352202729
143109a5d7
151d6ccbbb
hex13520d11

324144401 has 16 divisors (see below), whose sum is σ = 391738368. Its totient is φ = 262310400.

The previous prime is 324144377. The next prime is 324144419. The reversal of 324144401 is 104441423.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 324144401 - 210 = 324143377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (324144421) 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 15 ways as a sum of consecutive naturals, for example, 9320 + ... + 27113.

It is an arithmetic number, because the mean of its divisors is an integer number (24483648).

Almost surely, 2324144401 is an apocalyptic number.

324144401 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

324144401 is a deficient number, since it is larger than the sum of its proper divisors (67593967).

324144401 is a wasteful number, since it uses less digits than its factorization.

324144401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36512.

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 324144401 is about 18004.0106920653. The cubic root of 324144401 is about 686.9305661065.

Adding to 324144401 its reverse (104441423), we get a palindrome (428585824).

The spelling of 324144401 in words is "three hundred twenty-four million, one hundred forty-four thousand, four hundred one".

Divisors: 1 7 31 41 217 287 1271 8897 36433 255031 1129423 1493753 7905961 10456271 46306343 324144401