[go: up one dir, main page]

Search a number
-
+
1224132340 = 2252931103661
BaseRepresentation
bin100100011110110…
…1100011011110100
310011022102100212211
41020331230123310
510001334213330
6321245223204
742222644644
oct11075543364
93138370784
101224132340
11578a99822
122a1b61b04
131667c3782
14b8812524
1572705d2a
hex48f6c6f4

1224132340 has 96 divisors (see below), whose sum is σ = 2775951360. Its totient is φ = 452390400.

The previous prime is 1224132331. The next prime is 1224132359. The reversal of 1224132340 is 432314221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1851610 + ... + 1852270.

It is an arithmetic number, because the mean of its divisors is an integer number (28916160).

Almost surely, 21224132340 is an apocalyptic number.

1224132340 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 1224132340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387975680).

1224132340 is an abundant number, since it is smaller than the sum of its proper divisors (1551819020).

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

1224132340 is a wasteful number, since it uses less digits than its factorization.

1224132340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1224132340 is about 34987.6026615143. The cubic root of 1224132340 is about 1069.7347990376.

Adding to 1224132340 its reverse (432314221), we get a palindrome (1656446561).

The spelling of 1224132340 in words is "one billion, two hundred twenty-four million, one hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 31 58 62 103 116 124 145 155 206 290 310 412 515 580 620 661 899 1030 1322 1798 2060 2644 2987 3193 3305 3596 4495 5974 6386 6610 8990 11948 12772 13220 14935 15965 17980 19169 20491 29870 31930 38338 40982 59740 63860 68083 76676 81964 92597 95845 102455 136166 185194 191690 204910 272332 340415 370388 383380 409820 462985 594239 680830 925970 1188478 1361660 1851940 1974407 2110573 2376956 2971195 3948814 4221146 5942390 7897628 8442292 9872035 10552865 11884780 19744070 21105730 39488140 42211460 61206617 122413234 244826468 306033085 612066170 1224132340