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242534700 = 223252318693
BaseRepresentation
bin11100111010011…
…00100100101100
3121220101001001200
432131030210230
5444042102300
640022205500
76003340152
oct1635144454
9556331050
10242534700
111149a4a01
1269283890
133b32a775
14242d53d2
151645c200
hexe74c92c

242534700 has 108 divisors (see below), whose sum is σ = 784824768. Its totient is φ = 62582400.

The previous prime is 242534693. The next prime is 242534717. The reversal of 242534700 is 7435242.

242534700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23554 + ... + 32246.

It is an arithmetic number, because the mean of its divisors is an integer number (7266896).

Almost surely, 2242534700 is an apocalyptic number.

242534700 is a gapful number since it is divisible by the number (20) 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 242534700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392412384).

242534700 is an abundant number, since it is smaller than the sum of its proper divisors (542290068).

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

242534700 is a wasteful number, since it uses less digits than its factorization.

242534700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8744 (or 8734 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 242534700 is about 15573.5256123975. The cubic root of 242534700 is about 623.6265948907.

Adding to 242534700 its reverse (7435242), we get a palindrome (249969942).

The spelling of 242534700 in words is "two hundred forty-two million, five hundred thirty-four thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 31 36 45 50 60 62 75 90 93 100 124 150 155 180 186 225 279 300 310 372 450 465 558 620 775 900 930 1116 1395 1550 1860 2325 2790 3100 4650 5580 6975 8693 9300 13950 17386 26079 27900 34772 43465 52158 78237 86930 104316 130395 156474 173860 217325 260790 269483 312948 391185 434650 521580 538966 651975 782370 808449 869300 1077932 1303950 1347415 1564740 1616898 1955925 2425347 2607900 2694830 3233796 3911850 4042245 4850694 5389660 6737075 7823700 8084490 9701388 12126735 13474150 16168980 20211225 24253470 26948300 40422450 48506940 60633675 80844900 121267350 242534700