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2394240 = 27352943
BaseRepresentation
bin1001001000100010000000
311111122021120
421020202000
51103103430
6123152240
726231202
oct11104200
94448246
102394240
111395912
12975680
1365aa14
14464772
15324610
hex248880

2394240 has 128 divisors (see below), whose sum is σ = 8078400. Its totient is φ = 602112.

The previous prime is 2394239. The next prime is 2394241. The reversal of 2394240 is 424932.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2394239) and next prime (2394241).

It is a tau number, because it is divible by the number of its divisors (128).

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 2394240.

It is not an unprimeable number, because it can be changed into a prime (2394241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55659 + ... + 55701.

22394240 is an apocalyptic number.

2394240 is a gapful number since it is divisible by the number (20) 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 2394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4039200).

2394240 is an abundant number, since it is smaller than the sum of its proper divisors (5684160).

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

2394240 is a wasteful number, since it uses less digits than its factorization.

2394240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2394240 is about 1547.3331897171. Note that the first 3 decimals coincide. The cubic root of 2394240 is about 133.7793949426.

The spelling of 2394240 in words is "two million, three hundred ninety-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 43 48 58 60 64 80 86 87 96 116 120 128 129 145 160 172 174 192 215 232 240 258 290 320 344 348 384 430 435 464 480 516 580 640 645 688 696 860 870 928 960 1032 1160 1247 1290 1376 1392 1720 1740 1856 1920 2064 2320 2494 2580 2752 2784 3440 3480 3712 3741 4128 4640 4988 5160 5504 5568 6235 6880 6960 7482 8256 9280 9976 10320 11136 12470 13760 13920 14964 16512 18560 18705 19952 20640 24940 27520 27840 29928 37410 39904 41280 49880 55680 59856 74820 79808 82560 99760 119712 149640 159616 199520 239424 299280 399040 478848 598560 798080 1197120 2394240