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942368 = 2572601
BaseRepresentation
bin11100110000100100000
31202212200112
43212010200
5220123433
632110452
711003300
oct3460440
91685615
10942368
11594019
12395428
1326cc1b
141a7600
15139348
hexe6120

942368 has 36 divisors (see below), whose sum is σ = 2161782. Its totient is φ = 403200.

The previous prime is 942367. The next prime is 942371. The reversal of 942368 is 863249.

It can be written as a sum of positive squares in only one way, i.e., 659344 + 283024 = 812^2 + 532^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (942367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1268 + ... + 1868.

2942368 is an apocalyptic number.

942368 is a gapful number since it is divisible by the number (98) 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 942368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080891).

942368 is an abundant number, since it is smaller than the sum of its proper divisors (1219414).

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

942368 is a wasteful number, since it uses less digits than its factorization.

942368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 610 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 942368 is about 970.7564061081. The cubic root of 942368 is about 98.0407993386.

The spelling of 942368 in words is "nine hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 601 784 1202 1568 2404 4207 4808 8414 9616 16828 19232 29449 33656 58898 67312 117796 134624 235592 471184 942368