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42340032 = 2632710501
BaseRepresentation
bin1010000110000…
…0111011000000
32221200002121100
42201200323000
541314340112
64111254400
71022612220
oct241407300
987602540
1042340032
1121999769
121221a400
138a05997
1458a2080
153ab52dc
hex2860ec0

42340032 has 84 divisors (see below), whose sum is σ = 138710416. Its totient is φ = 12096000.

The previous prime is 42340027. The next prime is 42340049. The reversal of 42340032 is 23004324.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×423400322 = 3585356619522048, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 42339987 and 42340014.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1219 + ... + 9282.

Almost surely, 242340032 is an apocalyptic number.

42340032 is a gapful number since it is divisible by the number (42) 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 42340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69355208).

42340032 is an abundant number, since it is smaller than the sum of its proper divisors (96370384).

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

42340032 is a wasteful number, since it uses less digits than its factorization.

42340032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10526 (or 10513 counting only the distinct ones).

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

The square root of 42340032 is about 6506.9218529194. The cubic root of 42340032 is about 348.5382080164.

Adding to 42340032 its reverse (23004324), we get a palindrome (65344356).

The spelling of 42340032 in words is "forty-two million, three hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 10501 21002 31503 42004 63006 73507 84008 94509 126012 147014 168016 189018 220521 252024 294028 336032 378036 441042 504048 588056 661563 672064 756072 882084 1008096 1176112 1323126 1512144 1764168 2016192 2352224 2646252 3024288 3528336 4704448 5292504 6048576 7056672 10585008 14113344 21170016 42340032