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42304440 = 23351672111
BaseRepresentation
bin1010000101100…
…0001110111000
32221121021210010
42201120032320
541312220230
64110421520
71022403363
oct241301670
987537703
1042304440
1121974a52
12122018a0
1389c2719
1458930da
153aa99b0
hex28583b8

42304440 has 64 divisors (see below), whose sum is σ = 127733760. Its totient is φ = 11208320.

The previous prime is 42304439. The next prime is 42304453. The reversal of 42304440 is 4440324.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 18985 + ... + 21095.

It is an arithmetic number, because the mean of its divisors is an integer number (1995840).

Almost surely, 242304440 is an apocalyptic number.

42304440 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 42304440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63866880).

42304440 is an abundant number, since it is smaller than the sum of its proper divisors (85429320).

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

42304440 is a wasteful number, since it uses less digits than its factorization.

42304440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 42304440 is about 6504.1863441940. The cubic root of 42304440 is about 348.4405175726.

Adding to 42304440 its reverse (4440324), we get a palindrome (46744764).

The spelling of 42304440 in words is "forty-two million, three hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 167 334 501 668 835 1002 1336 1670 2004 2111 2505 3340 4008 4222 5010 6333 6680 8444 10020 10555 12666 16888 20040 21110 25332 31665 42220 50664 63330 84440 126660 253320 352537 705074 1057611 1410148 1762685 2115222 2820296 3525370 4230444 5288055 7050740 8460888 10576110 14101480 21152220 42304440