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3242411130 = 2357431312741
BaseRepresentation
bin1100000101000011…
…0100010001111010
322100222011112220010
43001100310101322
523120024124010
61253424042350
7143231016450
oct30120642172
98328145803
103242411130
111414290522
12765a633b6
133c899a98a
1422a8a89d0
1513e9c9620
hexc143447a

3242411130 has 128 divisors (see below), whose sum is σ = 9173108736. Its totient is φ = 718099200.

The previous prime is 3242411129. The next prime is 3242411147. The reversal of 3242411130 is 311142423.

It is a super-4 number, since 4×32424111304 (a number of 39 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 3242411097 and 3242411106.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1181560 + ... + 1184300.

It is an arithmetic number, because the mean of its divisors is an integer number (71664912).

Almost surely, 23242411130 is an apocalyptic number.

3242411130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3242411130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586554368).

3242411130 is an abundant number, since it is smaller than the sum of its proper divisors (5930697606).

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

3242411130 is a wasteful number, since it uses less digits than its factorization.

3242411130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3242411130 is about 56942.1735623079. The cubic root of 3242411130 is about 1480.0942127145.

Adding to 3242411130 its reverse (311142423), we get a palindrome (3553553553).

The spelling of 3242411130 in words is "three billion, two hundred forty-two million, four hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 43 70 86 105 129 131 210 215 258 262 301 393 430 602 645 655 786 903 917 1290 1310 1505 1806 1834 1965 2741 2751 3010 3930 4515 4585 5482 5502 5633 8223 9030 9170 11266 13705 13755 16446 16899 19187 27410 27510 28165 33798 38374 39431 41115 56330 57561 78862 82230 84495 95935 115122 117863 118293 168990 191870 197155 235726 236586 287805 353589 359071 394310 575610 589315 591465 707178 718142 825041 1077213 1178630 1182930 1650082 1767945 1795355 2154426 2475123 2513497 3535890 3590710 4125205 4950246 5026994 5386065 7540491 8250410 10772130 12375615 12567485 15080982 15440053 24751230 25134970 30880106 37702455 46320159 75404910 77200265 92640318 108080371 154400530 216160742 231600795 324241113 463201590 540401855 648482226 1080803710 1621205565 3242411130