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4042330320 = 243572406149
BaseRepresentation
bin1111000011110001…
…0001000011010000
3101102201100122201210
43300330101003100
531234314032240
61505041100120
7202113145410
oct36074210320
911381318653
104042330320
111794876666
12949927640
134c5622b42
142a4c12640
15189d37780
hexf0f110d0

4042330320 has 80 divisors (see below), whose sum is σ = 14321404800. Its totient is φ = 923960832.

The previous prime is 4042330319. The next prime is 4042330361. The reversal of 4042330320 is 230332404.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1201395 + ... + 1204754.

It is an arithmetic number, because the mean of its divisors is an integer number (179017560).

Almost surely, 24042330320 is an apocalyptic number.

4042330320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042330320 is an abundant number, since it is smaller than the sum of its proper divisors (10279074480).

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

4042330320 is a wasteful number, since it uses less digits than its factorization.

4042330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406172 (or 2406166 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 4042330320 is about 63579.3230539615. The cubic root of 4042330320 is about 1592.9810140905.

Adding to 4042330320 its reverse (230332404), we get a palindrome (4272662724).

The spelling of 4042330320 in words is "four billion, forty-two million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 2406149 4812298 7218447 9624596 12030745 14436894 16843043 19249192 24061490 28873788 33686086 36092235 38498384 48122980 50529129 57747576 67372172 72184470 84215215 96245960 101058258 115495152 134744344 144368940 168430430 192491920 202116516 252645645 269488688 288737880 336860860 404233032 505291290 577475760 673721720 808466064 1010582580 1347443440 2021165160 4042330320