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41430320 = 2451134583
BaseRepresentation
bin1001111000001…
…0110100110000
32212221212201022
42132002310300
541101232240
64035555012
71012103051
oct236026460
985855638
1041430320
1121428238
1211a5ba68
1387778a9
145706728
1539859b5
hex2782d30

41430320 has 40 divisors (see below), whose sum is σ = 97199136. Its totient is φ = 16421888.

The previous prime is 41430313. The next prime is 41430341. The reversal of 41430320 is 2303414.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6749 + ... + 11331.

Almost surely, 241430320 is an apocalyptic number.

41430320 is a gapful number since it is divisible by the number (40) 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 41430320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48599568).

41430320 is an abundant number, since it is smaller than the sum of its proper divisors (55768816).

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

41430320 is a wasteful number, since it uses less digits than its factorization.

41430320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4709 (or 4703 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 41430320 is about 6436.6388744437. The cubic root of 41430320 is about 346.0238993593.

Adding to 41430320 its reverse (2303414), we get a palindrome (43733734).

The spelling of 41430320 in words is "forty-one million, four hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 4520 4583 9040 9166 18332 22915 36664 45830 73328 91660 183320 366640 517879 1035758 2071516 2589395 4143032 5178790 8286064 10357580 20715160 41430320