Search a number
-
+
1449986340 = 2235113759377
BaseRepresentation
bin101011001101101…
…0000100100100100
310202001101221022210
41112123100210210
510432144030330
6355514123420
750634452265
oct12633204444
93661357283
101449986340
11684530220
12345720570
131a15308aa
14da80496c
158746a8b0
hex566d0924

1449986340 has 96 divisors (see below), whose sum is σ = 4548829824. Its totient is φ = 342005760.

The previous prime is 1449986333. The next prime is 1449986347. The reversal of 1449986340 is 436899441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1449986333) and next prime (1449986347).

It is a super-3 number, since 3×14499863403 (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1449986340.

It is not an unprimeable number, because it can be changed into a prime (1449986347) 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, 5269 + ... + 54108.

It is an arithmetic number, because the mean of its divisors is an integer number (47383644).

Almost surely, 21449986340 is an apocalyptic number.

1449986340 is a gapful number since it is divisible by the number (10) 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 1449986340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274414912).

1449986340 is an abundant number, since it is smaller than the sum of its proper divisors (3098843484).

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

1449986340 is a wasteful number, since it uses less digits than its factorization.

1449986340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59437 (or 59435 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 1449986340 is about 38078.6861643098. The cubic root of 1449986340 is about 1131.8476416788.

It can be divided in two parts, 1449 and 986340, that added together give a palindrome (987789).

The spelling of 1449986340 in words is "one billion, four hundred forty-nine million, nine hundred eighty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 132 148 165 185 220 222 330 370 407 444 555 660 740 814 1110 1221 1628 2035 2220 2442 4070 4884 6105 8140 12210 24420 59377 118754 178131 237508 296885 356262 593770 653147 712524 890655 1187540 1306294 1781310 1959441 2196949 2612588 3265735 3562620 3918882 4393898 6531470 6590847 7837764 8787796 9797205 10984745 13062940 13181694 19594410 21969490 24166439 26363388 32954235 39188820 43938980 48332878 65908470 72499317 96665756 120832195 131816940 144998634 241664390 289997268 362496585 483328780 724993170 1449986340