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2390294040 = 2335471393049
BaseRepresentation
bin1000111001111000…
…1111111000011000
320011120202111222220
42032132033320120
514343403402130
61033104144040
7113143110201
oct21636177030
96146674886
102390294040
111017293322
12568608020
132c129ab94
141896545a8
15decaa410
hex8e78fe18

2390294040 has 128 divisors (see below), whose sum is σ = 7378560000. Its totient is φ = 619158528.

The previous prime is 2390294003. The next prime is 2390294099. The reversal of 2390294040 is 404920932.

It is a junction number, because it is equal to n+sod(n) for n = 2390293992 and 2390294010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 782436 + ... + 785484.

It is an arithmetic number, because the mean of its divisors is an integer number (57645000).

Almost surely, 22390294040 is an apocalyptic number.

2390294040 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 2390294040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3689280000).

2390294040 is an abundant number, since it is smaller than the sum of its proper divisors (4988265960).

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

2390294040 is a wasteful number, since it uses less digits than its factorization.

2390294040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3249 (or 3245 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 2390294040 is about 48890.6334587720. The cubic root of 2390294040 is about 1337.0586034673.

The spelling of 2390294040 in words is "two billion, three hundred ninety million, two hundred ninety-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 139 141 188 235 278 282 376 417 470 556 564 695 705 834 940 1112 1128 1390 1410 1668 1880 2085 2780 2820 3049 3336 4170 5560 5640 6098 6533 8340 9147 12196 13066 15245 16680 18294 19599 24392 26132 30490 32665 36588 39198 45735 52264 60980 65330 73176 78396 91470 97995 121960 130660 143303 156792 182940 195990 261320 286606 365880 391980 423811 429909 573212 716515 783960 847622 859818 1146424 1271433 1433030 1695244 1719636 2119055 2149545 2542866 2866060 3390488 3439272 4238110 4299090 5085732 5732120 6357165 8476220 8598180 10171464 12714330 16952440 17196360 19919117 25428660 39838234 50857320 59757351 79676468 99595585 119514702 159352936 199191170 239029404 298786755 398382340 478058808 597573510 796764680 1195147020 2390294040