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242743800 = 233521331121
BaseRepresentation
bin11100111011111…
…11100111111000
3121220202122220010
432131333213320
5444120300200
640030501520
76005200605
oct1635774770
9556678803
10242743800
11115028012
12693648a0
133b3a19b0
142434b6ac
151649e150
hexe77f9f8

242743800 has 96 divisors (see below), whose sum is σ = 810416880. Its totient is φ = 59750400.

The previous prime is 242743793. The next prime is 242743801. The reversal of 242743800 is 8347242.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242743801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7761 + ... + 23360.

Almost surely, 2242743800 is an apocalyptic number.

242743800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242743800 is an abundant number, since it is smaller than the sum of its proper divisors (567673080).

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

242743800 is a wasteful number, since it uses less digits than its factorization.

242743800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31153 (or 31144 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 242743800 is about 15580.2374821438. The cubic root of 242743800 is about 623.8057621938.

The spelling of 242743800 in words is "two hundred forty-two million, seven hundred forty-three thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 31121 62242 93363 124484 155605 186726 248968 311210 373452 404573 466815 622420 746904 778025 809146 933630 1213719 1244840 1556050 1618292 1867260 2022865 2334075 2427438 3112100 3236584 3734520 4045730 4668150 4854876 6068595 6224200 8091460 9336300 9709752 10114325 12137190 16182920 18672600 20228650 24274380 30342975 40457300 48548760 60685950 80914600 121371900 242743800