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1034772080 = 245731671061
BaseRepresentation
bin111101101011010…
…101111001110000
32200010002212102212
4331223111321300
54104400201310
6250402431252
734433263136
oct7553257160
92603085385
101034772080
11491113641
1224a662528
131364c3294
149b5dd756
1560c9e205
hex3dad5e70

1034772080 has 80 divisors (see below), whose sum is σ = 2455717824. Its totient is φ = 405411840.

The previous prime is 1034772061. The next prime is 1034772083. The reversal of 1034772080 is 802774301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034772083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 974750 + ... + 975810.

Almost surely, 21034772080 is an apocalyptic number.

1034772080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034772080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227858912).

1034772080 is an abundant number, since it is smaller than the sum of its proper divisors (1420945744).

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

1034772080 is a wasteful number, since it uses less digits than its factorization.

1034772080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 1034772080 is about 32167.8734143244. The cubic root of 1034772080 is about 1011.4588857308.

The spelling of 1034772080 in words is "one billion, thirty-four million, seven hundred seventy-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 167 292 334 365 584 668 730 835 1061 1168 1336 1460 1670 2122 2672 2920 3340 4244 5305 5840 6680 8488 10610 12191 13360 16976 21220 24382 42440 48764 60955 77453 84880 97528 121910 154906 177187 195056 243820 309812 354374 387265 487640 619624 708748 774530 885935 975280 1239248 1417496 1549060 1771870 2834992 3098120 3543740 6196240 7087480 12934651 14174960 25869302 51738604 64673255 103477208 129346510 206954416 258693020 517386040 1034772080