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2420442304 = 26731397439
BaseRepresentation
bin1001000001000101…
…0000010011000000
320020200111012122021
42100101100103000
514424113123204
61040102251224
7113660264050
oct22021202300
96220435567
102420442304
111032305145
12576726b14
132c75c54a7
1418d661560
15e2763154
hex904504c0

2420442304 has 112 divisors (see below), whose sum is σ = 5693501440. Its totient is φ = 999060480.

The previous prime is 2420442263. The next prime is 2420442307. The reversal of 2420442304 is 4032440242.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (2420442307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5513317 + ... + 5513755.

Almost surely, 22420442304 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 2420442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2846750720).

2420442304 is an abundant number, since it is smaller than the sum of its proper divisors (3273059136).

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

2420442304 is a wasteful number, since it uses less digits than its factorization.

2420442304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

The square root of 2420442304 is about 49197.9908532859. The cubic root of 2420442304 is about 1342.6564781709.

Adding to 2420442304 its reverse (4032440242), we get a palindrome (6452882546).

The spelling of 2420442304 in words is "two billion, four hundred twenty million, four hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 248 397 434 439 448 496 794 868 878 992 1588 1736 1756 1984 2779 3073 3176 3472 3512 5558 6146 6352 6944 7024 11116 12292 12307 12704 13609 13888 14048 22232 24584 24614 25408 27218 28096 44464 49168 49228 54436 86149 88928 95263 98336 98456 108872 172298 174283 177856 190526 196672 196912 217744 344596 348566 381052 393824 435488 689192 697132 762104 787648 870976 1219981 1378384 1394264 1524208 2439962 2756768 2788528 3048416 4879924 5402773 5513536 5577056 6096832 9759848 10805546 11154112 19519696 21611092 37819411 39039392 43222184 75638822 78078784 86444368 151277644 172888736 302555288 345777472 605110576 1210221152 2420442304