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280300030506 = 232241353318289
BaseRepresentation
bin1000001010000110010…
…11110000101000101010
3222210111120221212222100
410011003023300220222
514043023301434011
6332433522234230
726152044643056
oct4050313605052
9883446855870
10280300030506
11a8969072681
12463a7ab5976
1320580662922
14d7d0a3ac66
157457e5ad56
hex41432f0a2a

280300030506 has 48 divisors (see below), whose sum is σ = 610042684680. Its totient is φ = 93014231040.

The previous prime is 280300030433. The next prime is 280300030529. The reversal of 280300030506 is 605030003082.

280300030506 is a `hidden beast` number, since 280 + 300 + 0 + 30 + 50 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 263794204881 + 16505825625 = 513609^2 + 128475^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 280300030506.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15317010 + ... + 15335298.

Almost surely, 2280300030506 is an apocalyptic number.

280300030506 is an abundant number, since it is smaller than the sum of its proper divisors (329742654174).

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

280300030506 is a wasteful number, since it uses less digits than its factorization.

280300030506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22071 (or 22068 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 280300030506 its reverse (605030003082), we get a palindrome (885330033588).

The spelling of 280300030506 in words is "two hundred eighty billion, three hundred million, thirty thousand, five hundred six".

Divisors: 1 2 3 6 9 18 241 482 723 1446 2169 3533 4338 7066 10599 18289 21198 31797 36578 54867 63594 109734 164601 329202 851453 1702906 2554359 4407649 5108718 7663077 8815298 13222947 15326154 26445894 39668841 64615037 79337682 129230074 193845111 387690222 581535333 1163070666 15572223917 31144447834 46716671751 93433343502 140150015253 280300030506