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1034021300 = 2252131276263
BaseRepresentation
bin111101101000011…
…110100110110100
32200001200201120012
4331220132212310
54104202140200
6250334355352
734424015234
oct7550364664
92601621505
101034021300
11490750564
1224a35bb58
131362bc630
149b485cc4
1560ba1a35
hex3da1e9b4

1034021300 has 72 divisors (see below), whose sum is σ = 2435844096. Its totient is φ = 378725760.

The previous prime is 1034021297. The next prime is 1034021321. The reversal of 1034021300 is 31204301.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 161969 + ... + 168231.

It is an arithmetic number, because the mean of its divisors is an integer number (33831168).

Almost surely, 21034021300 is an apocalyptic number.

1034021300 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 1034021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217922048).

1034021300 is an abundant number, since it is smaller than the sum of its proper divisors (1401822796).

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

1034021300 is a wasteful number, since it uses less digits than its factorization.

1034021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6417 (or 6410 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1034021300 is about 32156.2015791667. The cubic root of 1034021300 is about 1011.2142048495.

Adding to 1034021300 its reverse (31204301), we get a palindrome (1065225601).

The spelling of 1034021300 in words is "one billion, thirty-four million, twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 127 130 254 260 325 508 635 650 1270 1300 1651 2540 3175 3302 6263 6350 6604 8255 12526 12700 16510 25052 31315 33020 41275 62630 81419 82550 125260 156575 162838 165100 313150 325676 407095 626300 795401 814190 1590802 1628380 2035475 3181604 3977005 4070950 7954010 8141900 10340213 15908020 19885025 20680426 39770050 41360852 51701065 79540100 103402130 206804260 258505325 517010650 1034021300