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42204330 = 23257312161
BaseRepresentation
bin1010000011111…
…1110010101010
32221102012110100
42200333302222
541301014310
64104330230
71021505460
oct240776252
987365410
1042204330
1121906813
1212173976
138988c9c
145868830
153a89ec0
hex283fcaa

42204330 has 96 divisors (see below), whose sum is σ = 129512448. Its totient is φ = 9331200.

The previous prime is 42204277. The next prime is 42204373. The reversal of 42204330 is 3340224.

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

It is a Curzon number.

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, 18450 + ... + 20610.

It is an arithmetic number, because the mean of its divisors is an integer number (1349088).

Almost surely, 242204330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42204330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64756224).

42204330 is an abundant number, since it is smaller than the sum of its proper divisors (87308118).

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

42204330 is a wasteful number, since it uses less digits than its factorization.

42204330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 42204330 is about 6496.4859732012. The cubic root of 42204330 is about 348.1654484791.

Adding to 42204330 its reverse (3340224), we get a palindrome (45544554).

The spelling of 42204330 in words is "forty-two million, two hundred four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 31 35 42 45 62 63 70 90 93 105 126 155 186 210 217 279 310 315 434 465 558 630 651 930 1085 1302 1395 1953 2161 2170 2790 3255 3906 4322 6483 6510 9765 10805 12966 15127 19449 19530 21610 30254 32415 38898 45381 64830 66991 75635 90762 97245 133982 136143 151270 194490 200973 226905 272286 334955 401946 453810 468937 602919 669910 680715 937874 1004865 1205838 1361430 1406811 2009730 2344685 2813622 3014595 4220433 4689370 6029190 7034055 8440866 14068110 21102165 42204330