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1340344224 = 253210942697
BaseRepresentation
bin100111111100100…
…0000011110100000
310110102002112121200
41033321000132200
510221112003344
6341000121200
745133511052
oct11771003640
93412075550
101340344224
116286534aa
12314a66200
131848c23bb
14ca0238d2
157ca0e069
hex4fe407a0

1340344224 has 72 divisors (see below), whose sum is σ = 3846662820. Its totient is φ = 442672128.

The previous prime is 1340344223. The next prime is 1340344231. The reversal of 1340344224 is 4224430431.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1326416400 + 13927824 = 36420^2 + 3732^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (1340344223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10044 + ... + 52740.

Almost surely, 21340344224 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 1340344224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923331410).

1340344224 is an abundant number, since it is smaller than the sum of its proper divisors (2506318596).

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

1340344224 is a wasteful number, since it uses less digits than its factorization.

1340344224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42822 (or 42811 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 1340344224 is about 36610.7118750783. The cubic root of 1340344224 is about 1102.5681658379.

Adding to 1340344224 its reverse (4224430431), we get a palindrome (5564774655).

The spelling of 1340344224 in words is "one billion, three hundred forty million, three hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 109 144 218 288 327 436 654 872 981 1308 1744 1962 2616 3488 3924 5232 7848 10464 15696 31392 42697 85394 128091 170788 256182 341576 384273 512364 683152 768546 1024728 1366304 1537092 2049456 3074184 4098912 4653973 6148368 9307946 12296736 13961919 18615892 27923838 37231784 41885757 55847676 74463568 83771514 111695352 148927136 167543028 223390704 335086056 446781408 670172112 1340344224