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2430212424 = 2331743711951
BaseRepresentation
bin1001000011011010…
…0001100101001000
320021100212120201120
42100312201211020
514434113244144
61041051515240
7114136315263
oct22066414510
96240776646
102430212424
111037878622
12579a58b20
132c9636523
14190a85cda
15e3542e19
hex90da1948

2430212424 has 128 divisors (see below), whose sum is σ = 6678650880. Its totient is φ = 733824000.

The previous prime is 2430212399. The next prime is 2430212471. The reversal of 2430212424 is 4242120342.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2430212394 and 2430212403.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1244649 + ... + 1246599.

It is an arithmetic number, because the mean of its divisors is an integer number (52176960).

Almost surely, 22430212424 is an apocalyptic number.

2430212424 is a gapful number since it is divisible by the number (24) 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 2430212424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3339325440).

2430212424 is an abundant number, since it is smaller than the sum of its proper divisors (4248438456).

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

2430212424 is a wasteful number, since it uses less digits than its factorization.

2430212424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2091 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2430212424 is about 49297.1847472044. The cubic root of 2430212424 is about 1344.4605980488.

Adding to 2430212424 its reverse (4242120342), we get a palindrome (6672332766).

The spelling of 2430212424 in words is "two billion, four hundred thirty million, two hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 43 51 68 71 86 102 129 136 142 172 204 213 258 284 344 408 426 516 568 731 852 1032 1207 1462 1704 1951 2193 2414 2924 3053 3621 3902 4386 4828 5848 5853 6106 7242 7804 8772 9159 9656 11706 12212 14484 15608 17544 18318 23412 24424 28968 33167 36636 46824 51901 66334 73272 83893 99501 103802 132668 138521 155703 167786 199002 207604 251679 265336 277042 311406 335572 398004 415208 415563 503358 554084 622812 671144 796008 831126 1006716 1108168 1245624 1426181 1662252 2013432 2354857 2852362 3324504 4278543 4709714 5704724 5956403 7064571 8557086 9419428 11409448 11912806 14129142 17114172 17869209 18838856 23825612 28258284 34228344 35738418 47651224 56516568 71476836 101258851 142953672 202517702 303776553 405035404 607553106 810070808 1215106212 2430212424