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3242139210 = 23454002641
BaseRepresentation
bin1100000100111111…
…0001111001001010
322100221122201220000
43001033301321022
523114441423320
61253414143430
7143225504622
oct30117617112
98327581800
103242139210
1114141151a2
12765951b76
133c8903c8b
1422a837882
1513e973c90
hexc13f1e4a

3242139210 has 40 divisors (see below), whose sum is σ = 8717754276. Its totient is φ = 864570240.

The previous prime is 3242139209. The next prime is 3242139211. The reversal of 3242139210 is 129312423.

It is a happy number.

3242139210 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 (3242139209) and next prime (3242139211).

It can be written as a sum of positive squares in 2 ways, for example, as 3191459049 + 50680161 = 56493^2 + 7119^2 .

It is a super-2 number, since 2×32421392102 = 21022933314038848200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3242139211) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2000511 + ... + 2002130.

Almost surely, 23242139210 is an apocalyptic number.

3242139210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3242139210 is an abundant number, since it is smaller than the sum of its proper divisors (5475615066).

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

3242139210 is a wasteful number, since it uses less digits than its factorization.

3242139210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4002660 (or 4002651 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3242139210 is about 56939.7858267837. The cubic root of 3242139210 is about 1480.0528362559.

It can be divided in two parts, 32421 and 39210, that added together give a triangular number (71631 = T378).

The spelling of 3242139210 in words is "three billion, two hundred forty-two million, one hundred thirty-nine thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 4002641 8005282 12007923 20013205 24015846 36023769 40026410 60039615 72047538 108071307 120079230 180118845 216142614 324213921 360237690 540356535 648427842 1080713070 1621069605 3242139210