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1088304008 = 231122814001
BaseRepresentation
bin100000011011110…
…0011001110001000
32210211211120102212
41000313203032020
54212101212013
6255554044252
735653300661
oct10067431610
92724746385
101088304008
11509356a00
12264579688
1314461718c
14a4776368
15658256a8
hex40de3388

1088304008 has 48 divisors (see below), whose sum is σ = 2251485180. Its totient is φ = 492800000.

The previous prime is 1088303971. The next prime is 1088304023. The reversal of 1088304008 is 8004038801.

It can be written as a sum of positive squares in 2 ways, for example, as 1044453124 + 43850884 = 32318^2 + 6622^2 .

It is a super-2 number, since 2×10883040082 = 2368811227657728128, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 270008 + ... + 274008.

Almost surely, 21088304008 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 1088304008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125742590).

1088304008 is an abundant number, since it is smaller than the sum of its proper divisors (1163181172).

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

1088304008 is a wasteful number, since it uses less digits than its factorization.

1088304008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4310 (or 4295 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 1088304008 is about 32989.4529812181. The cubic root of 1088304008 is about 1028.6084227068.

The spelling of 1088304008 in words is "one billion, eighty-eight million, three hundred four thousand, eight".

Divisors: 1 2 4 8 11 22 44 88 121 242 281 484 562 968 1124 2248 3091 4001 6182 8002 12364 16004 24728 32008 34001 44011 68002 88022 136004 176044 272008 352088 484121 968242 1124281 1936484 2248562 3872968 4497124 8994248 12367091 24734182 49468364 98936728 136038001 272076002 544152004 1088304008