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344019456 = 2932112617
BaseRepresentation
bin10100100000010…
…101001000000000
3212222022222222100
4110200111020000
51201032110311
654045310400
711345055114
oct2440251000
9788288870
10344019456
1116720aa00
1297265400
1356371011
1433991744
1520306a56
hex14815200

344019456 has 180 divisors, whose sum is σ = 1093098006. Its totient is φ = 104079360.

The previous prime is 344019439. The next prime is 344019469. The reversal of 344019456 is 654910443.

It can be written as a sum of positive squares in only one way, i.e., 341510400 + 2509056 = 18480^2 + 1584^2 .

It is a super-2 number, since 2×3440194562 = 236698772213071872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 344019456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 557260 + ... + 557876.

Almost surely, 2344019456 is an apocalyptic number.

344019456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344019456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546549003).

344019456 is an abundant number, since it is smaller than the sum of its proper divisors (749078550).

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

344019456 is a wasteful number, since it uses less digits than its factorization.

344019456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 344019456 is about 18547.7614821843. The cubic root of 344019456 is about 700.6928215401.

Adding to 344019456 its reverse (654910443), we get a palindrome (998929899).

The spelling of 344019456 in words is "three hundred forty-four million, nineteen thousand, four hundred fifty-six".