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1024340240 = 245711166289
BaseRepresentation
bin111101000011100…
…011000100010000
32122101110212122102
4331003203010100
54044212341430
6245351055532
734245514460
oct7503430420
92571425572
101024340240
11486238a90
122470715a8
131342accb1
149a085ba0
155eddd345
hex3d0e3110

1024340240 has 80 divisors (see below), whose sum is σ = 2969274240. Its totient is φ = 319272960.

The previous prime is 1024340237. The next prime is 1024340257. The reversal of 1024340240 is 420434201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76985 + ... + 89304.

It is an arithmetic number, because the mean of its divisors is an integer number (37115928).

Almost surely, 21024340240 is an apocalyptic number.

1024340240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1024340240 is an abundant number, since it is smaller than the sum of its proper divisors (1944934000).

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

1024340240 is a wasteful number, since it uses less digits than its factorization.

1024340240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166320 (or 166314 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1024340240 is about 32005.3158084716. The cubic root of 1024340240 is about 1008.0484618088.

Adding to 1024340240 its reverse (420434201), we get a palindrome (1444774441).

The spelling of 1024340240 in words is "one billion, twenty-four million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 166289 332578 665156 831445 1164023 1330312 1662890 1829179 2328046 2660624 3325780 3658358 4656092 5820115 6651560 7316716 9145895 9312184 11640230 12804253 13303120 14633432 18291790 18624368 23280460 25608506 29266864 36583580 46560920 51217012 64021265 73167160 93121840 102434024 128042530 146334320 204868048 256085060 512170120 1024340240