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344404530 = 232517239787
BaseRepresentation
bin10100100001110…
…011001000110010
3220000001120012100
4110201303020302
51201131421110
654101441230
711351250561
oct2441631062
9800046170
10344404530
11167453248
1297410216
1356477382
1433a51bd8
1520380bc0
hex14873232

344404530 has 96 divisors (see below), whose sum is σ = 989449344. Its totient is φ = 82672128.

The previous prime is 344404483. The next prime is 344404531. The reversal of 344404530 is 35404443.

It is a super-2 number, since 2×3444045302 = 237228960569041800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 344404494 and 344404503.

It is not an unprimeable number, because it can be changed into a prime (344404531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30297 + ... + 40083.

It is an arithmetic number, because the mean of its divisors is an integer number (10306764).

Almost surely, 2344404530 is an apocalyptic number.

344404530 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 344404530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494724672).

344404530 is an abundant number, since it is smaller than the sum of its proper divisors (645044814).

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

344404530 is a wasteful number, since it uses less digits than its factorization.

344404530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9840 (or 9837 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 344404530 is about 18558.1391847351. The cubic root of 344404530 is about 700.9541613884.

Adding to 344404530 its reverse (35404443), we get a palindrome (379808973).

The spelling of 344404530 in words is "three hundred forty-four million, four hundred four thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 23 30 34 45 46 51 69 85 90 102 115 138 153 170 207 230 255 306 345 391 414 510 690 765 782 1035 1173 1530 1955 2070 2346 3519 3910 5865 7038 9787 11730 17595 19574 29361 35190 48935 58722 88083 97870 146805 166379 176166 225101 293610 332758 440415 450202 499137 675303 831895 880830 998274 1125505 1350606 1497411 1663790 2025909 2251010 2495685 2994822 3376515 3826717 4051818 4991370 6753030 7487055 7653434 10129545 11480151 14974110 19133585 20259090 22960302 34440453 38267170 57400755 68880906 114801510 172202265 344404530