Search a number
-
+
1242130344 = 2337132572213
BaseRepresentation
bin100101000001001…
…0110011110101000
310012120021202111120
41022002112132220
510020441132334
6323131055240
742531635160
oct11202263650
93176252446
101242130344
11588171a04
122a7ba1520
1316a455890
14bad795a0
15740ad949
hex4a0967a8

1242130344 has 128 divisors (see below), whose sum is σ = 3838544640. Its totient is φ = 326172672.

The previous prime is 1242130343. The next prime is 1242130361. The reversal of 1242130344 is 4430312421.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1242130343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 560182 + ... + 562394.

It is an arithmetic number, because the mean of its divisors is an integer number (29988630).

Almost surely, 21242130344 is an apocalyptic number.

1242130344 is a gapful number since it is divisible by the number (14) 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 1242130344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919272320).

1242130344 is an abundant number, since it is smaller than the sum of its proper divisors (2596414296).

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

1242130344 is a wasteful number, since it uses less digits than its factorization.

1242130344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2499 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1242130344 is about 35243.8695945834. The cubic root of 1242130344 is about 1074.9519629517.

Adding to 1242130344 its reverse (4430312421), we get a palindrome (5672442765).

The spelling of 1242130344 in words is "one billion, two hundred forty-two million, one hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 257 273 312 364 514 546 728 771 1028 1092 1542 1799 2056 2184 2213 3084 3341 3598 4426 5397 6168 6639 6682 7196 8852 10023 10794 13278 13364 14392 15491 17704 20046 21588 23387 26556 26728 28769 30982 40092 43176 46473 46774 53112 57538 61964 70161 80184 86307 92946 93548 115076 123928 140322 172614 185892 187096 201383 230152 280644 345228 371784 402766 561288 568741 604149 690456 805532 1137482 1208298 1611064 1706223 2274964 2416596 3412446 3981187 4549928 4833192 6824892 7393633 7962374 11943561 13649784 14787266 15924748 22180899 23887122 29574532 31849496 44361798 47774244 51755431 59149064 88723596 95548488 103510862 155266293 177447192 207021724 310532586 414043448 621065172 1242130344