Search a number
-
+
30242700 = 22335223487
BaseRepresentation
bin111001101011…
…1011110001100
32002220111012000
41303113132030
530220231300
63000112300
7515026065
oct163273614
962814160
1030242700
1116086874
12a165690
13635b5b7
14403356c
1529c5c00
hex1cd778c

30242700 has 144 divisors (see below), whose sum is σ = 101660160. Its totient is φ = 7698240.

The previous prime is 30242689. The next prime is 30242713. The reversal of 30242700 is 724203.

It is a happy number.

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

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, 61857 + ... + 62343.

Almost surely, 230242700 is an apocalyptic number.

30242700 is a gapful number since it is divisible by the number (30) 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 30242700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50830080).

30242700 is an abundant number, since it is smaller than the sum of its proper divisors (71417460).

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

30242700 is a wasteful number, since it uses less digits than its factorization.

30242700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 520 counting only the distinct ones).

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

The square root of 30242700 is about 5499.3363235940. The cubic root of 30242700 is about 311.5589181460.

Adding to 30242700 its reverse (724203), we get a palindrome (30966903).

The spelling of 30242700 in words is "thirty million, two hundred forty-two thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 25 27 30 36 45 46 50 54 60 69 75 90 92 100 108 115 135 138 150 180 207 225 230 270 276 300 345 414 450 460 487 540 575 621 675 690 828 900 974 1035 1150 1242 1350 1380 1461 1725 1948 2070 2300 2435 2484 2700 2922 3105 3450 4140 4383 4870 5175 5844 6210 6900 7305 8766 9740 10350 11201 12175 12420 13149 14610 15525 17532 20700 21915 22402 24350 26298 29220 31050 33603 36525 43830 44804 48700 52596 56005 62100 65745 67206 73050 87660 100809 109575 112010 131490 134412 146100 168015 201618 219150 224020 262980 280025 302427 328725 336030 403236 438300 504045 560050 604854 657450 672060 840075 1008090 1120100 1209708 1314900 1512135 1680150 2016180 2520225 3024270 3360300 5040450 6048540 7560675 10080900 15121350 30242700