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3240204030 = 2325724121341
BaseRepresentation
bin1100000100100001…
…1001011011111110
322100211000102022200
43001020121123332
523113443012110
61253304452330
7143203164660
oct30110313376
98324012280
103240204030
111413013278
1276517a0a6
133c83a71bb
1422a492530
1513e6e06c0
hexc12196fe

3240204030 has 96 divisors (see below), whose sum is σ = 9668438208. Its totient is φ = 737510400.

The previous prime is 3240204013. The next prime is 3240204091. The reversal of 3240204030 is 304020423.

3240204030 is a `hidden beast` number, since 3 + 240 + 20 + 403 + 0 = 666.

3240204030 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3240203994 and 3240204012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141160 + ... + 162500.

It is an arithmetic number, because the mean of its divisors is an integer number (100712898).

Almost surely, 23240204030 is an apocalyptic number.

3240204030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3240204030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4834219104).

3240204030 is an abundant number, since it is smaller than the sum of its proper divisors (6428234178).

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

3240204030 is a wasteful number, since it uses less digits than its factorization.

3240204030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21602 (or 21599 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3240204030 is about 56922.7900756806. The cubic root of 3240204030 is about 1479.7583045173.

Adding to 3240204030 its reverse (304020423), we get a palindrome (3544224453).

The spelling of 3240204030 in words is "three billion, two hundred forty million, two hundred four thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 241 315 482 630 723 1205 1446 1687 2169 2410 3374 3615 4338 5061 7230 8435 10122 10845 15183 16870 21341 21690 25305 30366 42682 50610 64023 75915 106705 128046 149387 151830 192069 213410 298774 320115 384138 448161 640230 746935 896322 960345 1344483 1493870 1920690 2240805 2688966 4481610 5143181 6722415 10286362 13444830 15429543 25715905 30859086 36002267 46288629 51431810 72004534 77147715 92577258 108006801 154295430 180011335 216013602 231443145 324020403 360022670 462886290 540034005 648040806 1080068010 1620102015 3240204030