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942330480 = 243571323319
BaseRepresentation
bin111000001010101…
…101001001110000
32102200011100101220
4320022231021300
53412214033410
6233301225040
732231451120
oct7012551160
92380140356
10942330480
11443a14923
12223702180
131202c7c00
148d218c80
1557ade070
hex382ad270

942330480 has 240 divisors, whose sum is σ = 3616197120. Its totient is φ = 198761472.

The previous prime is 942330469. The next prime is 942330497. The reversal of 942330480 is 84033249.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 282261 + ... + 285579.

It is an arithmetic number, because the mean of its divisors is an integer number (15067488).

Almost surely, 2942330480 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 942330480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808098560).

942330480 is an abundant number, since it is smaller than the sum of its proper divisors (2673866640).

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

942330480 is a wasteful number, since it uses less digits than its factorization.

942330480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3368 (or 3349 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 942330480 is about 30697.4018444558. The cubic root of 942330480 is about 980.3949816977.

It can be divided in two parts, 9423 and 30480, that added together give a triangular number (39903 = T282).

The spelling of 942330480 in words is "nine hundred forty-two million, three hundred thirty thousand, four hundred eighty".