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1008379134 = 232721923167
BaseRepresentation
bin111100000110101…
…010010011111110
32121021102222010100
4330012222103332
54031121113014
6244021021530
733663036600
oct7406522376
92537388110
101008379134
11478227194
122418548a6
13130bb2059
1497ccd170
155d7d9009
hex3c1aa4fe

1008379134 has 108 divisors (see below), whose sum is σ = 2683178784. Its totient is φ = 272858544.

The previous prime is 1008379103. The next prime is 1008379171. The reversal of 1008379134 is 4319738001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 316819 + ... + 319985.

It is an arithmetic number, because the mean of its divisors is an integer number (24844248).

Almost surely, 21008379134 is an apocalyptic number.

1008379134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1008379134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341589392).

1008379134 is an abundant number, since it is smaller than the sum of its proper divisors (1674799650).

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

1008379134 is a wasteful number, since it uses less digits than its factorization.

1008379134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3227 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1008379134 is about 31754.9859707102. The cubic root of 1008379134 is about 1002.7852796812.

The spelling of 1008379134 in words is "one billion, eight million, three hundred seventy-nine thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 133 147 171 266 294 342 361 399 441 722 798 882 931 1083 1197 1862 2166 2394 2527 2793 3167 3249 5054 5586 6334 6498 7581 8379 9501 15162 16758 17689 19002 22169 22743 28503 35378 44338 45486 53067 57006 60173 66507 106134 120346 133014 155183 159201 180519 199521 310366 318402 361038 399042 421211 465549 541557 842422 931098 1083114 1143287 1263633 1396647 2286574 2527266 2793294 2948477 3429861 3790899 5896954 6859722 7581798 8003009 8845431 10289583 16006018 17690862 20579166 24009027 26536293 48018054 53072586 56021063 72027081 112042126 144054162 168063189 336126378 504189567 1008379134