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344124521 = 13314159353
BaseRepresentation
bin10100100000101…
…110110001101001
3212222112100002122
4110200232301221
51201043441041
654051441025
711346003326
oct2440566151
9788470078
10344124521
11167281934
12972b6175
13563a9aa0
14339bbb4d
1520327c4b
hex1482ec69

344124521 has 32 divisors (see below), whose sum is σ = 399651840. Its totient is φ = 293990400.

The previous prime is 344124511. The next prime is 344124533. The reversal of 344124521 is 125421443.

It is a cyclic number.

It is not a de Polignac number, because 344124521 - 218 = 343862377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (344124511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 974681 + ... + 975033.

It is an arithmetic number, because the mean of its divisors is an integer number (12489120).

Almost surely, 2344124521 is an apocalyptic number.

344124521 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

344124521 is a deficient number, since it is larger than the sum of its proper divisors (55527319).

344124521 is a wasteful number, since it uses less digits than its factorization.

344124521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497.

The product of its digits is 3840, while the sum is 26.

The square root of 344124521 is about 18550.5935484555. The cubic root of 344124521 is about 700.7641457989.

Subtracting from 344124521 its sum of digits (26), we obtain a triangular number (344124495 = T26234).

Adding to 344124521 its reverse (125421443), we get a palindrome (469545964).

The spelling of 344124521 in words is "three hundred forty-four million, one hundred twenty-four thousand, five hundred twenty-one".

Divisors: 1 13 31 41 59 353 403 533 767 1271 1829 2419 4589 10943 14473 16523 20827 23777 31447 74989 142259 188149 270751 448663 645637 853907 974857 5832619 8393281 11100791 26471117 344124521