Search a number
-
+
2424340440 = 233257194849
BaseRepresentation
bin1001000010000000…
…0111111111011000
320020221211020212200
42100200013333120
514431112343230
61040322010200
7114035360634
oct22040077730
96227736780
102424340440
111034527945
12577aa6960
132c835b892
1418dd97dc4
15e2c83160
hex90807fd8

2424340440 has 96 divisors (see below), whose sum is σ = 7990164000. Its totient is φ = 637378560.

The previous prime is 2424340433. The next prime is 2424340441. The reversal of 2424340440 is 440434242.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2424340441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21865 + ... + 72984.

It is an arithmetic number, because the mean of its divisors is an integer number (83230875).

Almost surely, 22424340440 is an apocalyptic number.

2424340440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2424340440 is an abundant number, since it is smaller than the sum of its proper divisors (5565823560).

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

2424340440 is a wasteful number, since it uses less digits than its factorization.

2424340440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94937 (or 94930 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 2424340440 is about 49237.5917363959. The cubic root of 2424340440 is about 1343.3768768540.

Adding to 2424340440 its reverse (440434242), we get a palindrome (2864774682).

The spelling of 2424340440 in words is "two billion, four hundred twenty-four million, three hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 71 72 90 120 142 180 213 284 355 360 426 568 639 710 852 1065 1278 1420 1704 2130 2556 2840 3195 4260 5112 6390 8520 12780 25560 94849 189698 284547 379396 474245 569094 758792 853641 948490 1138188 1422735 1707282 1896980 2276376 2845470 3414564 3793960 4268205 5690940 6734279 6829128 8536410 11381880 13468558 17072820 20202837 26937116 33671395 34145640 40405674 53874232 60608511 67342790 80811348 101014185 121217022 134685580 161622696 202028370 242434044 269371160 303042555 404056740 484868088 606085110 808113480 1212170220 2424340440