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30321344240 = 24511731134177
BaseRepresentation
bin11100001111010010…
…101111111011110000
32220021010221212210122
4130033102233323300
5444044231003430
621532431345412
72122251113345
oct341722577360
986233855718
1030321344240
111194a676790
125a62682268
132b22b27115
141678db67cc
15bc6e51ee5
hex70f4afef0

30321344240 has 160 divisors (see below), whose sum is σ = 78668197056. Its totient is φ = 10776084480.

The previous prime is 30321344239. The next prime is 30321344269. The reversal of 30321344240 is 4244312303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7257032 + ... + 7261208.

Almost surely, 230321344240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30321344240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39334098528).

30321344240 is an abundant number, since it is smaller than the sum of its proper divisors (48346852816).

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

30321344240 is a wasteful number, since it uses less digits than its factorization.

30321344240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4387 (or 4381 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 30321344240 its reverse (4244312303), we get a palindrome (34565656543).

The spelling of 30321344240 in words is "thirty billion, three hundred twenty-one million, three hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 73 80 88 110 113 146 176 220 226 292 365 440 452 565 584 730 803 880 904 1130 1168 1243 1460 1606 1808 2260 2486 2920 3212 4015 4177 4520 4972 5840 6215 6424 8030 8249 8354 9040 9944 12430 12848 16060 16498 16708 19888 20885 24860 32120 32996 33416 41245 41770 45947 49720 64240 65992 66832 82490 83540 90739 91894 99440 131984 164980 167080 181478 183788 229735 304921 329960 334160 362956 367576 453695 459470 472001 609842 659920 725912 735152 907390 918940 944002 1219684 1451824 1524605 1814780 1837880 1888004 2360005 2439368 3049210 3354131 3629560 3675760 3776008 4720010 4878736 5192011 6098420 6708262 7259120 7552016 9440020 10384022 12196840 13416524 16770655 18880040 20768044 24393680 25960055 26833048 33541310 34456073 37760080 41536088 51920110 53666096 67082620 68912146 83072176 103840220 134165240 137824292 172280365 207680440 268330480 275648584 344560730 379016803 415360880 551297168 689121460 758033606 1378242920 1516067212 1895084015 2756485840 3032134424 3790168030 6064268848 7580336060 15160672120 30321344240