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3242502420 = 2235974671193
BaseRepresentation
bin1100000101000100…
…1010100100010100
322100222100012010020
43001101022210110
523120040034140
61253430025140
7143231546553
oct30121124424
98328305106
103242502420
111414343073
12765aa81b0
133c8a003b1
1422a8cdd9a
1513e9e66d0
hexc144a914

3242502420 has 96 divisors (see below), whose sum is σ = 9199951488. Its totient is φ = 853204992.

The previous prime is 3242502413. The next prime is 3242502421. The reversal of 3242502420 is 242052423.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3242502421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2717344 + ... + 2718536.

It is an arithmetic number, because the mean of its divisors is an integer number (95832828).

Almost surely, 23242502420 is an apocalyptic number.

3242502420 is a gapful number since it is divisible by the number (30) 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 3242502420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4599975744).

3242502420 is an abundant number, since it is smaller than the sum of its proper divisors (5957449068).

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

3242502420 is a wasteful number, since it uses less digits than its factorization.

3242502420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 3242502420 is about 56942.9751593645. The cubic root of 3242502420 is about 1480.1081032553.

Adding to 3242502420 its reverse (242052423), we get a palindrome (3484554843).

The spelling of 3242502420 in words is "three billion, two hundred forty-two million, five hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 467 485 582 934 970 1164 1193 1401 1455 1868 1940 2335 2386 2802 2910 3579 4670 4772 5604 5820 5965 7005 7158 9340 11930 14010 14316 17895 23860 28020 35790 45299 71580 90598 115721 135897 181196 226495 231442 271794 347163 452990 462884 543588 557131 578605 679485 694326 905980 1114262 1157210 1358970 1388652 1671393 1735815 2228524 2314420 2717940 2785655 3342786 3471630 5571310 6685572 6943260 8356965 11142620 16713930 33427860 54041707 108083414 162125121 216166828 270208535 324250242 540417070 648500484 810625605 1080834140 1621251210 3242502420