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242434780 = 225729211283
BaseRepresentation
bin11100111001101…
…00001011011100
3121220011221222221
432130310023130
5444030403110
640020115124
76002442640
oct1634641334
9556157887
10242434780
11114936925
1269235aa4
133b2c4143
14242aac20
151643c7da
hexe7342dc

242434780 has 96 divisors (see below), whose sum is σ = 606896640. Its totient is φ = 79591680.

The previous prime is 242434727. The next prime is 242434781. The reversal of 242434780 is 87434242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242434781) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 856519 + ... + 856801.

It is an arithmetic number, because the mean of its divisors is an integer number (6321840).

Almost surely, 2242434780 is an apocalyptic number.

242434780 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 242434780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303448320).

242434780 is an abundant number, since it is smaller than the sum of its proper divisors (364461860).

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

242434780 is a wasteful number, since it uses less digits than its factorization.

242434780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 34.

The square root of 242434780 is about 15570.3172735818. The cubic root of 242434780 is about 623.5409420906.

The spelling of 242434780 in words is "two hundred forty-two million, four hundred thirty-four thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 211 283 290 406 422 566 580 812 844 1015 1055 1132 1415 1477 1981 2030 2110 2830 2954 3962 4060 4220 5660 5908 6119 7385 7924 8207 9905 12238 14770 16414 19810 24476 29540 30595 32828 39620 41035 42833 57449 59713 61190 82070 85666 114898 119426 122380 164140 171332 214165 229796 238852 287245 298565 417991 428330 574490 597130 835982 856660 1148980 1194260 1671964 1731677 2089955 3463354 4179910 6926708 8359820 8658385 12121739 17316770 24243478 34633540 48486956 60608695 121217390 242434780