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1244145344 = 261311711277
BaseRepresentation
bin100101000101000…
…0010011011000000
310012201002010120012
41022022002123000
510022000122334
6323242204052
742555026621
oct11212023300
93181063505
101244145344
115893188a2
122a87b3628
1316a9acaa0
14bb341a48
157435a9ce
hex4a2826c0

1244145344 has 56 divisors (see below), whose sum is σ = 2663116848. Its totient is φ = 573281280.

The previous prime is 1244145341. The next prime is 1244145347. The reversal of 1244145344 is 4435414421.

It is an interprime number because it is at equal distance from previous prime (1244145341) and next prime (1244145347).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1244145344.

It is not an unprimeable number, because it can be changed into a prime (1244145341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 973634 + ... + 974910.

It is an arithmetic number, because the mean of its divisors is an integer number (47555658).

Almost surely, 21244145344 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 1244145344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331558424).

1244145344 is an abundant number, since it is smaller than the sum of its proper divisors (1418971504).

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

1244145344 is a wasteful number, since it uses less digits than its factorization.

1244145344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2473 (or 2463 counting only the distinct ones).

The product of its digits is 30720, while the sum is 32.

The square root of 1244145344 is about 35272.4445424470. Note that the first 3 decimals coincide. The cubic root of 1244145344 is about 1075.5329159403.

Adding to 1244145344 its reverse (4435414421), we get a palindrome (5679559765).

The spelling of 1244145344 in words is "one billion, two hundred forty-four million, one hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 1171 1277 2342 2554 4684 5108 9368 10216 15223 16601 18736 20432 30446 33202 37472 40864 60892 66404 74944 81728 121784 132808 243568 265616 487136 531232 974272 1062464 1495367 2990734 5981468 11962936 19439771 23925872 38879542 47851744 77759084 95703488 155518168 311036336 622072672 1244145344