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70440300 = 22335273727
BaseRepresentation
bin1000011001011…
…01010101101100
311220112201221000
410030231111230
5121013042200
610553440300
71513506210
oct414552554
9156481830
1070440300
1136841927
121b710090
1311794068
1494d8940
1562b6300
hex432d56c

70440300 has 144 divisors (see below), whose sum is σ = 258872320. Its totient is φ = 16096320.

The previous prime is 70440281. The next prime is 70440301. The reversal of 70440300 is 304407.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (70440301) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 17037 + ... + 20763.

Almost surely, 270440300 is an apocalyptic number.

70440300 is a gapful number since it is divisible by the number (70) 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 70440300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129436160).

70440300 is an abundant number, since it is smaller than the sum of its proper divisors (188432020).

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

70440300 is a wasteful number, since it uses less digits than its factorization.

70440300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3757 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 70440300 is about 8392.8719756708. The cubic root of 70440300 is about 412.9908207150.

Adding to 70440300 its reverse (304407), we get a palindrome (70744707).

The spelling of 70440300 in words is "seventy million, four hundred forty thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 27 28 30 35 36 42 45 50 54 60 63 70 75 84 90 100 105 108 126 135 140 150 175 180 189 210 225 252 270 300 315 350 378 420 450 525 540 630 675 700 756 900 945 1050 1260 1350 1575 1890 2100 2700 3150 3727 3780 4725 6300 7454 9450 11181 14908 18635 18900 22362 26089 33543 37270 44724 52178 55905 67086 74540 78267 93175 100629 104356 111810 130445 134172 156534 167715 186350 201258 223620 234801 260890 279525 313068 335430 372700 391335 402516 469602 503145 521780 559050 652225 670860 704403 782670 838575 939204 1006290 1118100 1174005 1304450 1408806 1565340 1677150 1956675 2012580 2348010 2515725 2608900 2817612 3354300 3522015 3913350 4696020 5031450 5870025 7044030 7826700 10062900 11740050 14088060 17610075 23480100 35220150 70440300