Search a number
-
+
942308640 = 253457131747
BaseRepresentation
bin111000001010100…
…111110100100000
32102200010020110000
4320022213310200
53412212334030
6233300540000
732231330340
oct7012476440
92380106400
10942308640
114439aa479
122236b1600
131202baca0
148d210d20
1557ad7860
hex382a7d20

942308640 has 960 divisors, whose sum is σ = 4425974784. Its totient is φ = 183140352.

The previous prime is 942308567. The next prime is 942308641. The reversal of 942308640 is 46803249.

It is a happy number.

942308640 is a `hidden beast` number, since 9 + 4 + 2 + 3 + 0 + 8 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 942308595 and 942308604.

It is not an unprimeable number, because it can be changed into a prime (942308641) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 20049097 + ... + 20049143.

Almost surely, 2942308640 is an apocalyptic number.

942308640 is a gapful number since it is divisible by the number (90) 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 942308640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212987392).

942308640 is an abundant number, since it is smaller than the sum of its proper divisors (3483666144).

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

942308640 is a wasteful number, since it uses less digits than its factorization.

942308640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 942308640 is about 30697.0461119633. The cubic root of 942308640 is about 980.3874075708.

The spelling of 942308640 in words is "nine hundred forty-two million, three hundred eight thousand, six hundred forty".