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3240342120 = 2335172369061
BaseRepresentation
bin1100000100100011…
…1011001001101000
322100211021102202010
43001020323021220
523114011421440
61253311435520
7143204311401
oct30110731150
98324242663
103240342120
1114130a7aa4
12765225ba0
133c8425002
1422a4ca9a8
1513e71b580
hexc123b268

3240342120 has 128 divisors (see below), whose sum is σ = 10740522240. Its totient is φ = 777891840.

The previous prime is 3240342109. The next prime is 3240342139. The reversal of 3240342120 is 212430423.

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 31 ways as a sum of consecutive naturals, for example, 12390 + ... + 81450.

It is an arithmetic number, because the mean of its divisors is an integer number (83910330).

Almost surely, 23240342120 is an apocalyptic number.

3240342120 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 3240342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5370261120).

3240342120 is an abundant number, since it is smaller than the sum of its proper divisors (7500180120).

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

3240342120 is a wasteful number, since it uses less digits than its factorization.

3240342120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69115 (or 69111 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3240342120 is about 56924.0030215725. The cubic root of 3240342120 is about 1479.7793255106.

Adding to 3240342120 its reverse (212430423), we get a palindrome (3452772543).

The spelling of 3240342120 in words is "three billion, two hundred forty million, three hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 23 24 30 34 40 46 51 60 68 69 85 92 102 115 120 136 138 170 184 204 230 255 276 340 345 391 408 460 510 552 680 690 782 920 1020 1173 1380 1564 1955 2040 2346 2760 3128 3910 4692 5865 7820 9384 11730 15640 23460 46920 69061 138122 207183 276244 345305 414366 552488 690610 828732 1035915 1174037 1381220 1588403 1657464 2071830 2348074 2762440 3176806 3522111 4143660 4696148 4765209 5870185 6353612 7044222 7942015 8287320 9392296 9530418 11740370 12707224 14088444 15884030 17610555 19060836 23480740 23826045 27002851 28176888 31768060 35221110 38121672 46961480 47652090 54005702 63536120 70442220 81008553 95304180 108011404 135014255 140884440 162017106 190608360 216022808 270028510 324034212 405042765 540057020 648068424 810085530 1080114040 1620171060 3240342120