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2430642424 = 237294334807
BaseRepresentation
bin1001000011100000…
…1010100011111000
320021101200102120111
42100320022203320
514434221024144
61041105034104
7114143056030
oct22070124370
96241612514
102430642424
1110380416a1
1257a025934
132c9757172
14190b588c0
15e35ca534
hex90e0a8f8

2430642424 has 64 divisors (see below), whose sum is σ = 5513587200. Its totient is φ = 982364544.

The previous prime is 2430642407. The next prime is 2430642427. The reversal of 2430642424 is 4242460342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430642427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52429 + ... + 87235.

It is an arithmetic number, because the mean of its divisors is an integer number (86149800).

Almost surely, 22430642424 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 2430642424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2756793600).

2430642424 is an abundant number, since it is smaller than the sum of its proper divisors (3082944776).

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

2430642424 is a wasteful number, since it uses less digits than its factorization.

2430642424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34892 (or 34888 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

The square root of 2430642424 is about 49301.5458581169. The cubic root of 2430642424 is about 1344.5398893291.

The spelling of 2430642424 in words is "two billion, four hundred thirty million, six hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 29 43 56 58 86 116 172 203 232 301 344 406 602 812 1204 1247 1624 2408 2494 4988 8729 9976 17458 34807 34916 69614 69832 139228 243649 278456 487298 974596 1009403 1496701 1949192 2018806 2993402 4037612 5986804 7065821 8075224 10476907 11973608 14131642 20953814 28263284 41907628 43404329 56526568 83815256 86808658 173617316 303830303 347234632 607660606 1215321212 2430642424