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30331332240 = 24351156320407
BaseRepresentation
bin11100001111111000…
…110110011010010000
32220021211202022202120
4130033320312122100
5444104310112430
621533425414240
72122432033026
oct341770663220
986254668676
1030331332240
1111955278930
125a65a9a380
132b24c13391
14167a456716
15bc7c76610
hex70fe36690

30331332240 has 160 divisors (see below), whose sum is σ = 102762279936. Its totient is φ = 7339630080.

The previous prime is 30331332223. The next prime is 30331332253. The reversal of 30331332240 is 4223313303.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30331332240.

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, 1476117 + ... + 1496523.

Almost surely, 230331332240 is an apocalyptic number.

30331332240 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 30331332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51381139968).

30331332240 is an abundant number, since it is smaller than the sum of its proper divisors (72430947696).

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

30331332240 is a wasteful number, since it uses less digits than its factorization.

30331332240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20997 (or 20991 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 30331332240 its reverse (4223313303), we get a palindrome (34554645543).

The spelling of 30331332240 in words is "thirty billion, three hundred thirty-one million, three hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 563 660 880 1126 1320 1689 2252 2640 2815 3378 4504 5630 6193 6756 8445 9008 11260 12386 13512 16890 18579 20407 22520 24772 27024 30965 33780 37158 40814 45040 49544 61221 61930 67560 74316 81628 92895 99088 102035 122442 123860 135120 148632 163256 185790 204070 224477 244884 247720 297264 306105 326512 371580 408140 448954 489768 495440 612210 673431 743160 816280 897908 979536 1122385 1224420 1346862 1486320 1632560 1795816 2244770 2448840 2693724 3367155 3591632 4489540 4897680 5387448 6734310 8979080 10774896 11489141 13468620 17958160 22978282 26937240 34467423 45956564 53874480 57445705 68934846 91913128 114891410 126380551 137869692 172337115 183826256 229782820 252761102 275739384 344674230 379141653 459565640 505522204 551478768 631902755 689348460 758283306 919131280 1011044408 1263805510 1378696920 1516566612 1895708265 2022088816 2527611020 2757393840 3033133224 3791416530 5055222040 6066266448 7582833060 10110444080 15165666120 30331332240