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1034034216 = 233474911867
BaseRepresentation
bin111101101000100…
…001110000101000
32200001201101021120
4331220201300220
54104203043331
6250334535240
734424101005
oct7550416050
92601641246
101034034216
1149075a236
1224a367520
131362c5487
149b48a8ac
1560ba5796
hex3da21c28

1034034216 has 64 divisors (see below), whose sum is σ = 2646881280. Its totient is φ = 336477120.

The previous prime is 1034034203. The next prime is 1034034247. The reversal of 1034034216 is 6124304301.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 552915 + ... + 554781.

It is an arithmetic number, because the mean of its divisors is an integer number (41357520).

Almost surely, 21034034216 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 1034034216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323440640).

1034034216 is an abundant number, since it is smaller than the sum of its proper divisors (1612847064).

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

1034034216 is a wasteful number, since it uses less digits than its factorization.

1034034216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1034034216 is about 32156.4024107175. The cubic root of 1034034216 is about 1011.2184152038.

Adding to 1034034216 its reverse (6124304301), we get a palindrome (7158338517).

The spelling of 1034034216 in words is "one billion, thirty-four million, thirty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 491 564 982 1128 1473 1867 1964 2946 3734 3928 5601 5892 7468 11202 11784 14936 22404 23077 44808 46154 69231 87749 92308 138462 175498 184616 263247 276924 350996 526494 553848 701992 916697 1052988 1833394 2105976 2750091 3666788 5500182 7333576 11000364 22000728 43084759 86169518 129254277 172339036 258508554 344678072 517017108 1034034216