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2430315424 = 25235362303
BaseRepresentation
bin1001000011011011…
…1010101110100000
320021101001211000101
42100312322232200
514434130043144
61041054032144
7114140224465
oct22066725640
96241054011
102430315424
111037938a49
12579aa8654
132c9671384
14190ab166c
15e35636d4
hex90dbaba0

2430315424 has 48 divisors (see below), whose sum is σ = 5086996992. Its totient is φ = 1140375808.

The previous prime is 2430315413. The next prime is 2430315439. The reversal of 2430315424 is 4245130342.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2430315392 and 2430315401.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7857 + ... + 70159.

It is an arithmetic number, because the mean of its divisors is an integer number (105979104).

Almost surely, 22430315424 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 2430315424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2543498496).

2430315424 is an abundant number, since it is smaller than the sum of its proper divisors (2656681568).

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

2430315424 is a wasteful number, since it uses less digits than its factorization.

2430315424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62389 (or 62381 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 2430315424 is about 49298.2294205380. The cubic root of 2430315424 is about 1344.4795919282.

Adding to 2430315424 its reverse (4245130342), we get a palindrome (6675445766).

The spelling of 2430315424 in words is "two billion, four hundred thirty million, three hundred fifteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 53 92 106 184 212 368 424 736 848 1219 1696 2438 4876 9752 19504 39008 62303 124606 249212 498424 996848 1432969 1993696 2865938 3302059 5731876 6604118 11463752 13208236 22927504 26416472 45855008 52832944 75947357 105665888 151894714 303789428 607578856 1215157712 2430315424