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1008634228 = 227219318737
BaseRepresentation
bin111100000111101…
…000100101110100
32121021220221001021
4330013220211310
54031202243403
6244030310524
733665151400
oct7407504564
92537827037
101008634228
11478390908
12241958444
13130c711b4
1497d58100
155d8398bd
hex3c1e8974

1008634228 has 72 divisors (see below), whose sum is σ = 2231335680. Its totient is φ = 396264960.

The previous prime is 1008634217. The next prime is 1008634229. The reversal of 1008634228 is 8224368001.

1008634228 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1008634193 and 1008634202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008634229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111076 + ... + 119812.

Almost surely, 21008634228 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 1008634228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115667840).

1008634228 is an abundant number, since it is smaller than the sum of its proper divisors (1222701452).

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

1008634228 is a wasteful number, since it uses less digits than its factorization.

1008634228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8805 (or 8796 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 1008634228 is about 31759.0023143045. The cubic root of 1008634228 is about 1002.8698321846.

The spelling of 1008634228 in words is "one billion, eight million, six hundred thirty-four thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 14 19 28 31 38 49 62 76 98 124 133 196 217 266 434 532 589 868 931 1178 1519 1862 2356 3038 3724 4123 6076 8246 8737 16492 17474 28861 34948 57722 61159 115444 122318 166003 244636 270847 332006 428113 541694 664012 856226 1083388 1162021 1712452 1895929 2324042 3791858 4648084 5146093 7583716 8134147 10292186 13271503 16268294 20584372 26543006 32536588 36022651 53086012 72045302 144090604 252158557 504317114 1008634228