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344205144 = 2332139163211
BaseRepresentation
bin10100100001000…
…010011101011000
3212222200102200200
4110201002131120
51201104031034
654053302200
711346460353
oct2441023530
9788612620
10344205144
11167327468
1297334960
13564076aa
14339dd29a
1520341a99
hex14842758

344205144 has 96 divisors (see below), whose sum is σ = 949166400. Its totient is φ = 112674240.

The previous prime is 344205139. The next prime is 344205149. The reversal of 344205144 is 441502443.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (344205139) and next prime (344205149).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344205149) 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 23 ways as a sum of consecutive naturals, for example, 1631199 + ... + 1631409.

It is an arithmetic number, because the mean of its divisors is an integer number (9887150).

Almost surely, 2344205144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344205144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474583200).

344205144 is an abundant number, since it is smaller than the sum of its proper divisors (604961256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

344205144 is a wasteful number, since it uses less digits than its factorization.

344205144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 344205144 is about 18552.7664783449. The cubic root of 344205144 is about 700.8188675567.

Adding to 344205144 its reverse (441502443), we get a palindrome (785707587).

The spelling of 344205144 in words is "three hundred forty-four million, two hundred five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139 163 211 278 326 417 422 489 556 633 652 834 844 978 1112 1251 1266 1304 1467 1668 1688 1899 1956 2502 2532 2934 3336 3798 3912 5004 5064 5868 7596 10008 11736 15192 22657 29329 34393 45314 58658 67971 68786 87987 90628 103179 117316 135942 137572 175974 181256 203913 206358 234632 263961 271884 275144 309537 351948 407826 412716 527922 543768 619074 703896 815652 825432 1055844 1238148 1631304 2111688 2476296 4780627 9561254 14341881 19122508 28683762 38245016 43025643 57367524 86051286 114735048 172102572 344205144