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1030294300 = 225273179601
BaseRepresentation
bin111101011010010…
…000101100011100
32122210200101002011
4331122100230130
54102223404200
6250122441004
734350233320
oct7532205434
92583611064
101030294300
114896353a2
12249063164
131355b60c9
149ab95980
15606b75ba
hex3d690b1c

1030294300 has 144 divisors (see below), whose sum is σ = 2675384320. Its totient is φ = 336960000.

The previous prime is 1030294297. The next prime is 1030294357. The reversal of 1030294300 is 34920301.

1030294300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10302943002 = 2123012689224980000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1714000 + ... + 1714600.

Almost surely, 21030294300 is an apocalyptic number.

1030294300 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 1030294300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337692160).

1030294300 is an abundant number, since it is smaller than the sum of its proper divisors (1645090020).

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

1030294300 is a wasteful number, since it uses less digits than its factorization.

1030294300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 1030294300 is about 32098.1977687222. The cubic root of 1030294300 is about 1009.9978106674.

The spelling of 1030294300 in words is "one billion, thirty million, two hundred ninety-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 62 70 79 100 124 140 155 158 175 217 310 316 350 395 434 553 601 620 700 775 790 868 1085 1106 1202 1550 1580 1975 2170 2212 2404 2449 2765 3005 3100 3950 4207 4340 4898 5425 5530 6010 7900 8414 9796 10850 11060 12020 12245 13825 15025 16828 17143 18631 21035 21700 24490 27650 30050 34286 37262 42070 47479 48980 55300 60100 61225 68572 74524 84140 85715 93155 94958 105175 122450 130417 171430 186310 189916 210350 237395 244900 260834 332353 342860 372620 420700 428575 465775 474790 521668 652085 664706 857150 931550 949580 1186975 1304170 1329412 1471849 1661765 1714300 1863100 2373950 2608340 2943698 3260425 3323530 4747900 5887396 6520850 6647060 7359245 8308825 10302943 13041700 14718490 16617650 20605886 29436980 33235300 36796225 41211772 51514715 73592450 103029430 147184900 206058860 257573575 515147150 1030294300