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42010344 = 233253101109
BaseRepresentation
bin1010000001000…
…0011011101000
32221001100100200
42200100123220
541223312334
64100232200
71020040065
oct240203350
987040320
1042010344
1121793aa2
121209b660
13891b8bc
145817c6c
153a4c799
hex28106e8

42010344 has 96 divisors (see below), whose sum is σ = 118146600. Its totient is φ = 13478400.

The previous prime is 42010303. The next prime is 42010361. The reversal of 42010344 is 44301024.

It can be written as a sum of positive squares in 4 ways, for example, as 41447844 + 562500 = 6438^2 + 750^2 .

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 23 ways as a sum of consecutive naturals, for example, 385362 + ... + 385470.

Almost surely, 242010344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42010344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59073300).

42010344 is an abundant number, since it is smaller than the sum of its proper divisors (76136256).

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

42010344 is a wasteful number, since it uses less digits than its factorization.

42010344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42010344 is about 6481.5387062024. The cubic root of 42010344 is about 347.6311986698.

Adding to 42010344 its reverse (44301024), we get a palindrome (86311368).

The spelling of 42010344 in words is "forty-two million, ten thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 101 106 109 159 202 212 218 303 318 327 404 424 436 477 606 636 654 808 872 909 954 981 1212 1272 1308 1818 1908 1962 2424 2616 3636 3816 3924 5353 5777 7272 7848 10706 11009 11554 16059 17331 21412 22018 23108 32118 33027 34662 42824 44036 46216 48177 51993 64236 66054 69324 88072 96354 99081 103986 128472 132108 138648 192708 198162 207972 264216 385416 396324 415944 583477 792648 1166954 1750431 2333908 3500862 4667816 5251293 7001724 10502586 14003448 21005172 42010344