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1023534304 = 25132533571
BaseRepresentation
bin111101000000011…
…110010011100000
32122022221221002221
4331000132103200
54044011044204
6245321520424
734235620012
oct7500362340
92568857087
101023534304
11485838521
12246943114
1313408a200
1499d161b2
155ecce654
hex3d01e4e0

1023534304 has 72 divisors (see below), whose sum is σ = 2223805752. Its totient is φ = 463357440.

The previous prime is 1023534299. The next prime is 1023534353. The reversal of 1023534304 is 4034353201.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 284839 + ... + 288409.

It is an arithmetic number, because the mean of its divisors is an integer number (30886191).

Almost surely, 21023534304 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 1023534304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111902876).

1023534304 is an abundant number, since it is smaller than the sum of its proper divisors (1200271448).

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

1023534304 is a wasteful number, since it uses less digits than its factorization.

1023534304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3660 (or 3639 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 1023534304 is about 31992.7226725079. The cubic root of 1023534304 is about 1007.7840198217.

Adding to 1023534304 its reverse (4034353201), we get a palindrome (5057887505).

The spelling of 1023534304 in words is "one billion, twenty-three million, five hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 53 104 106 169 208 212 338 416 424 676 689 848 1352 1378 1696 2704 2756 3571 5408 5512 7142 8957 11024 14284 17914 22048 28568 35828 46423 57136 71656 92846 114272 143312 185692 189263 286624 371384 378526 603499 742768 757052 1206998 1485536 1514104 2413996 2460419 3028208 4827992 4920838 6056416 9655984 9841676 19311968 19683352 31985447 39366704 63970894 78733408 127941788 255883576 511767152 1023534304