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1243243440 = 243256128307
BaseRepresentation
bin100101000011010…
…0110001110110000
310012122101022101100
41022012212032300
510021232242230
6323211004400
742544252305
oct11206461660
93178338340
101243243440
1158886221a
122a8439700
1316a75540a
14bb1890ac
157422d660
hex4a1a63b0

1243243440 has 120 divisors (see below), whose sum is σ = 4243822128. Its totient is φ = 326085120.

The previous prime is 1243243429. The next prime is 1243243447. The reversal of 1243243440 is 443423421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×12432434402 = 3091308502206067200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1243243447) 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 23 ways as a sum of consecutive naturals, for example, 29767 + ... + 58073.

Almost surely, 21243243440 is an apocalyptic number.

1243243440 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 1243243440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2121911064).

1243243440 is an abundant number, since it is smaller than the sum of its proper divisors (3000578688).

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

1243243440 is a wasteful number, since it uses less digits than its factorization.

1243243440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28387 (or 28378 counting only the distinct ones).

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

The square root of 1243243440 is about 35259.6574004910. The cubic root of 1243243440 is about 1075.2729618722.

Adding to 1243243440 its reverse (443423421), we get a palindrome (1686666861).

The spelling of 1243243440 in words is "one billion, two hundred forty-three million, two hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 61 72 80 90 120 122 144 180 183 240 244 305 360 366 488 549 610 720 732 915 976 1098 1220 1464 1830 2196 2440 2745 2928 3660 4392 4880 5490 7320 8784 10980 14640 21960 28307 43920 56614 84921 113228 141535 169842 226456 254763 283070 339684 424605 452912 509526 566140 679368 849210 1019052 1132280 1273815 1358736 1698420 1726727 2038104 2264560 2547630 3396840 3453454 4076208 5095260 5180181 6793680 6906908 8633635 10190520 10360362 13813816 15540543 17267270 20381040 20720724 25900905 27627632 31081086 34534540 41441448 51801810 62162172 69069080 77702715 82882896 103603620 124324344 138138160 155405430 207207240 248648688 310810860 414414480 621621720 1243243440