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3232053240 = 2335132279127
BaseRepresentation
bin1100000010100101…
…0011011111111000
322100020200022112120
43000221103133320
523104401200430
61252414041240
7143043666513
oct30051233770
98306608476
103232053240
111409456489
127624a9220
133c67b2250
1422936dd7a
1513db30610
hexc0a537f8

3232053240 has 128 divisors (see below), whose sum is σ = 10489167360. Its totient is φ = 791990784.

The previous prime is 3232053239. The next prime is 3232053241. The reversal of 3232053240 is 423502323.

3232053240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3232053239) and next prime (3232053241).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3232053240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3232053241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349557 + ... + 358683.

It is an arithmetic number, because the mean of its divisors is an integer number (81946620).

Almost surely, 23232053240 is an apocalyptic number.

3232053240 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 3232053240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5244583680).

3232053240 is an abundant number, since it is smaller than the sum of its proper divisors (7257114120).

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

3232053240 is a wasteful number, since it uses less digits than its factorization.

3232053240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9381 (or 9377 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 3232053240 is about 56851.1498564453. The cubic root of 3232053240 is about 1478.5164766753.

Adding to 3232053240 its reverse (423502323), we get a palindrome (3655555563).

The spelling of 3232053240 in words is "three billion, two hundred thirty-two million, fifty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 227 260 312 390 454 520 681 780 908 1135 1362 1560 1816 2270 2724 2951 3405 4540 5448 5902 6810 8853 9080 9127 11804 13620 14755 17706 18254 23608 27240 27381 29510 35412 36508 44265 45635 54762 59020 70824 73016 88530 91270 109524 118040 118651 136905 177060 182540 219048 237302 273810 354120 355953 365080 474604 547620 593255 711906 949208 1095240 1186510 1423812 1779765 2071829 2373020 2847624 3559530 4143658 4746040 6215487 7119060 8287316 10359145 12430974 14238120 16574632 20718290 24861948 26933777 31077435 41436580 49723896 53867554 62154870 80801331 82873160 107735108 124309740 134668885 161602662 215470216 248619480 269337770 323205324 404006655 538675540 646410648 808013310 1077351080 1616026620 3232053240