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1054304300 = 2252717194663
BaseRepresentation
bin111110110101110…
…110100000101100
32201110212012121102
4332311312200230
54124400214200
6252341222232
735061303320
oct7665664054
92643765542
101054304300
114a1144475
12255101978
1313a5717ca
14a0045980
156285b6d5
hex3ed7682c

1054304300 has 144 divisors (see below), whose sum is σ = 2914813440. Its totient is φ = 322237440.

The previous prime is 1054304267. The next prime is 1054304311. The reversal of 1054304300 is 34034501.

It is a super-2 number, since 2×10543043002 = 2223115113996980000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 47 ways as a sum of consecutive naturals, for example, 223769 + ... + 228431.

It is an arithmetic number, because the mean of its divisors is an integer number (20241760).

Almost surely, 21054304300 is an apocalyptic number.

1054304300 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 1054304300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457406720).

1054304300 is an abundant number, since it is smaller than the sum of its proper divisors (1860509140).

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

1054304300 is a wasteful number, since it uses less digits than its factorization.

1054304300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4720 (or 4713 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 1054304300 is about 32470.0523559787. The cubic root of 1054304300 is about 1017.7833124950.

Adding to 1054304300 its reverse (34034501), we get a palindrome (1088338801).

The spelling of 1054304300 in words is "one billion, fifty-four million, three hundred four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 17 19 20 25 28 34 35 38 50 68 70 76 85 95 100 119 133 140 170 175 190 238 266 323 340 350 380 425 475 476 532 595 646 665 700 850 950 1190 1292 1330 1615 1700 1900 2261 2380 2660 2975 3230 3325 4522 4663 5950 6460 6650 8075 9044 9326 11305 11900 13300 16150 18652 22610 23315 32300 32641 45220 46630 56525 65282 79271 88597 93260 113050 116575 130564 158542 163205 177194 226100 233150 317084 326410 354388 396355 442985 466300 554897 620179 652820 792710 816025 885970 1109794 1240358 1506149 1585420 1632050 1771940 1981775 2214925 2219588 2480716 2774485 3012298 3100895 3264100 3963550 4429850 5548970 6024596 6201790 7530745 7927100 8859700 10543043 11097940 12403580 13872425 15061490 15504475 21086086 27744850 30122980 31008950 37653725 42172172 52715215 55489700 62017900 75307450 105430430 150614900 210860860 263576075 527152150 1054304300