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3242132124 = 22371114923549
BaseRepresentation
bin1100000100111111…
…0000001010011100
322100221122101011120
43001033300022130
523114441211444
61253414050540
7143225445150
oct30117601234
98327571146
103242132124
11141410a940
12765949a50
133c890099a
1422a835060
1513e971b19
hexc13f029c

3242132124 has 96 divisors (see below), whose sum is σ = 9495360000. Its totient is φ = 836424960.

The previous prime is 3242132119. The next prime is 3242132147. The reversal of 3242132124 is 4212312423.

It is a happy number.

It is a super-2 number, since 2×32421321242 = 21022841418945502752, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3242132094 and 3242132103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125902 + ... + 149450.

It is an arithmetic number, because the mean of its divisors is an integer number (98910000).

Almost surely, 23242132124 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 3242132124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4747680000).

3242132124 is an abundant number, since it is smaller than the sum of its proper divisors (6253227876).

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

3242132124 is a wasteful number, since it uses less digits than its factorization.

3242132124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23723 (or 23721 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 3242132124 is about 56939.7236031226. The cubic root of 3242132124 is about 1480.0517579903.

Adding to 3242132124 its reverse (4212312423), we get a palindrome (7454444547).

The spelling of 3242132124 in words is "three billion, two hundred forty-two million, one hundred thirty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 149 154 231 298 308 447 462 596 894 924 1043 1639 1788 2086 3129 3278 4172 4917 6258 6556 9834 11473 12516 19668 22946 23549 34419 45892 47098 68838 70647 94196 137676 141294 164843 259039 282588 329686 494529 518078 659372 777117 989058 1036156 1554234 1813273 1978116 3108468 3508801 3626546 5439819 7017602 7253092 10526403 10879638 14035204 21052806 21759276 24561607 38596811 42105612 49123214 73684821 77193622 98246428 115790433 147369642 154387244 231580866 270177677 294739284 463161732 540355354 810533031 1080710708 1621066062 3242132124