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2434130010 = 2325132080453
BaseRepresentation
bin1001000100010101…
…1110000001011010
320021122020121122100
42101011132001122
514441114130020
61041311504230
7114214522644
oct22105360132
96248217570
102434130010
11103a0039a4
1257b228076
132ca3a8720
141913c5894
15e3a68a90
hex9115e05a

2434130010 has 48 divisors (see below), whose sum is σ = 6815567304. Its totient is φ = 599170176.

The previous prime is 2434129969. The next prime is 2434130059. The reversal of 2434130010 is 100314342.

2434130010 is a `hidden beast` number, since 24 + 341 + 300 + 1 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2236249521 + 197880489 = 47289^2 + 14067^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1039057 + ... + 1041396.

Almost surely, 22434130010 is an apocalyptic number.

2434130010 is an abundant number, since it is smaller than the sum of its proper divisors (4381437294).

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

2434130010 is a wasteful number, since it uses less digits than its factorization.

2434130010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080479 (or 2080476 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2434130010 is about 49336.9031253483. The cubic root of 2434130010 is about 1345.1826491035.

Adding to 2434130010 its reverse (100314342), we get a palindrome (2534444352).

The spelling of 2434130010 in words is "two billion, four hundred thirty-four million, one hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 2080453 4160906 6241359 10402265 12482718 18724077 20804530 27045889 31206795 37448154 54091778 62413590 81137667 93620385 135229445 162275334 187240770 243413001 270458890 405688335 486826002 811376670 1217065005 2434130010