Search a number
-
+
1403243424 = 2532114310301
BaseRepresentation
bin101001110100011…
…1100101110100000
310121210110011002200
41103220330232200
510333212242144
6351124213200
746526241462
oct12350745640
93553404080
101403243424
11660104610
12331b3a200
13194945b6b
14d4518132
15832d5c69
hex53a3cba0

1403243424 has 144 divisors (see below), whose sum is σ = 4454914464. Its totient is φ = 415296000.

The previous prime is 1403243371. The next prime is 1403243477. The reversal of 1403243424 is 4243423041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1403243371) and next prime (1403243477).

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131074 + ... + 141374.

It is an arithmetic number, because the mean of its divisors is an integer number (30936906).

Almost surely, 21403243424 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 1403243424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227457232).

1403243424 is an abundant number, since it is smaller than the sum of its proper divisors (3051671040).

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

1403243424 is a wasteful number, since it uses less digits than its factorization.

1403243424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10371 (or 10360 counting only the distinct ones).

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

The square root of 1403243424 is about 37459.8908701027. The cubic root of 1403243424 is about 1119.5521764071.

Adding to 1403243424 its reverse (4243423041), we get a palindrome (5646666465).

The spelling of 1403243424 in words is "one billion, four hundred three million, two hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 43 44 48 66 72 86 88 96 99 129 132 144 172 176 198 258 264 288 344 352 387 396 473 516 528 688 774 792 946 1032 1056 1376 1419 1548 1584 1892 2064 2838 3096 3168 3784 4128 4257 5676 6192 7568 8514 10301 11352 12384 15136 17028 20602 22704 30903 34056 41204 45408 61806 68112 82408 92709 113311 123612 136224 164816 185418 226622 247224 329632 339933 370836 442943 453244 494448 679866 741672 885886 906488 988896 1019799 1328829 1359732 1483344 1771772 1812976 2039598 2657658 2719464 2966688 3543544 3625952 3986487 4079196 4872373 5315316 5438928 7087088 7972974 8158392 9744746 10630632 10877856 14174176 14617119 15945948 16316784 19489492 21261264 29234238 31891896 32633568 38978984 42522528 43851357 58468476 63783792 77957968 87702714 116936952 127567584 155915936 175405428 233873904 350810856 467747808 701621712 1403243424