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1074324940 = 2251323273107
BaseRepresentation
bin100000000001000…
…1110010111001100
32202212112100202121
41000002032113030
54200011344230
6254334302324
735423416453
oct10002162714
92685470677
101074324940
11501479257
1225b9579a4
13141761440
14a2977b9a
15644b377a
hex4008e5cc

1074324940 has 144 divisors (see below), whose sum is σ = 2598710688. Its totient is φ = 370732032.

The previous prime is 1074324907. The next prime is 1074324941. The reversal of 1074324940 is 494234701.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1074324896 and 1074324905.

It is not an unprimeable number, because it can be changed into a prime (1074324941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10040367 + ... + 10040473.

It is an arithmetic number, because the mean of its divisors is an integer number (18046602).

Almost surely, 21074324940 is an apocalyptic number.

1074324940 is a gapful number since it is divisible by the number (10) 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 1074324940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299355344).

1074324940 is an abundant number, since it is smaller than the sum of its proper divisors (1524385748).

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

1074324940 is a wasteful number, since it uses less digits than its factorization.

1074324940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 1074324940 is about 32776.8964363620. The cubic root of 1074324940 is about 1024.1853340385.

The spelling of 1074324940 in words is "one billion, seventy-four million, three hundred twenty-four thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 73 92 107 115 130 146 214 230 260 292 299 365 428 460 529 535 598 730 949 1058 1070 1196 1391 1460 1495 1679 1898 2116 2140 2461 2645 2782 2990 3358 3796 4745 4922 5290 5564 5980 6716 6877 6955 7811 8395 9490 9844 10580 12305 13754 13910 15622 16790 18980 21827 24610 27508 27820 31244 31993 33580 34385 38617 39055 43654 49220 56603 63986 68770 77234 78110 87308 101543 109135 113206 127972 137540 154468 156220 159965 179653 193085 203086 218270 226412 283015 319930 359306 386170 406172 436540 502021 507715 566030 639860 718612 735839 772340 898265 1004042 1015430 1132060 1471678 1796530 2008084 2030860 2335489 2510105 2943356 3593060 3679195 4132019 4670978 5020210 7358390 8264038 9341956 10040420 11677445 14716780 16528076 20660095 23354890 41320190 46709780 53716247 82640380 107432494 214864988 268581235 537162470 1074324940