Search a number
-
+
930336300 = 2233525872
BaseRepresentation
bin110111011100111…
…100111000101100
32101211120222111000
4313130330320230
53401131230200
6232152200300
732024504505
oct6734747054
92354528430
10930336300
11438172483
1221b699090
1311a98876a
148b7b5bac
1556a20300
hex3773ce2c

930336300 has 108 divisors (see below), whose sum is σ = 2995962760. Its totient is φ = 247667040.

The previous prime is 930336259. The next prime is 930336307. The reversal of 930336300 is 3633039.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (930336307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1584607 + ... + 1585193.

Almost surely, 2930336300 is an apocalyptic number.

930336300 is a gapful number since it is divisible by the number (90) 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 930336300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497981380).

930336300 is an abundant number, since it is smaller than the sum of its proper divisors (2065626460).

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

930336300 is a wasteful number, since it uses less digits than its factorization.

930336300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

The square root of 930336300 is about 30501.4147212879. The cubic root of 930336300 is about 976.2176502752.

Multiplying 930336300 by its sum of digits (27), we get a square (25119080100 = 1584902).

930336300 divided by its sum of digits (27) gives a square (34456900 = 58702).

Adding to 930336300 its reverse (3633039), we get a palindrome (933969339).

The spelling of 930336300 in words is "nine hundred thirty million, three hundred thirty-six thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 587 675 900 1174 1350 1761 2348 2700 2935 3522 5283 5870 7044 8805 10566 11740 14675 15849 17610 21132 26415 29350 31698 35220 44025 52830 58700 63396 79245 88050 105660 132075 158490 176100 264150 316980 344569 396225 528300 689138 792450 1033707 1378276 1584900 1722845 2067414 3101121 3445690 4134828 5168535 6202242 6891380 8614225 9303363 10337070 12404484 15505605 17228450 18606726 20674140 25842675 31011210 34456900 37213452 46516815 51685350 62022420 77528025 93033630 103370700 155056050 186067260 232584075 310112100 465168150 930336300