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1034223112 = 231337397677
BaseRepresentation
bin111101101001001…
…111111000001000
32200002001222101201
4331221033320020
54104230114422
6250342553544
734425515506
oct7551177010
92602058351
101034223112
1149087914a
1224a4388b4
13136360450
149b4d9676
1560be1727
hex3da4fe08

1034223112 has 64 divisors (see below), whose sum is σ = 2153355120. Its totient is φ = 462578688.

The previous prime is 1034223107. The next prime is 1034223137. The reversal of 1034223112 is 2113224301.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 936727236 + 97495876 = 30606^2 + 9874^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1034223112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1527318 + ... + 1527994.

Almost surely, 21034223112 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 1034223112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076677560).

1034223112 is an abundant number, since it is smaller than the sum of its proper divisors (1119132008).

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

1034223112 is a wasteful number, since it uses less digits than its factorization.

1034223112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1034223112 is about 32159.3394210764. The cubic root of 1034223112 is about 1011.2799874679.

Adding to 1034223112 its reverse (2113224301), we get a palindrome (3147447413).

The spelling of 1034223112 in words is "one billion, thirty-four million, two hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 296 397 481 677 794 962 1354 1588 1924 2708 3176 3848 5161 5416 8801 10322 14689 17602 20644 25049 29378 35204 41288 50098 58756 70408 100196 117512 190957 200392 268769 325637 381914 537538 651274 763828 1075076 1302548 1527656 2150152 2605096 3493997 6987994 9944453 13975988 19888906 27951976 39777812 79555624 129277889 258555778 517111556 1034223112