Search a number
-
+
942994304 = 2771278287
BaseRepresentation
bin111000001101001…
…111001110000000
32102201102001222222
4320031033032000
53412401304204
6233323350212
732240214350
oct7015171600
92381361888
10942994304
1144432863a
12223982368
1312049b0c5
148d34cb60
1557bc0abe
hex3834f380

942994304 has 64 divisors (see below), whose sum is σ = 2164162560. Its totient is φ = 400909824.

The previous prime is 942994289. The next prime is 942994309. The reversal of 942994304 is 403499249.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (942994309) 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 7 ways as a sum of consecutive naturals, for example, 109649 + ... + 117935.

It is an arithmetic number, because the mean of its divisors is an integer number (33815040).

Almost surely, 2942994304 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 942994304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082081280).

942994304 is an abundant number, since it is smaller than the sum of its proper divisors (1221168256).

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

942994304 is a wasteful number, since it uses less digits than its factorization.

942994304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8435 (or 8423 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 44.

The square root of 942994304 is about 30708.2123217878. The cubic root of 942994304 is about 980.6251404976.

The spelling of 942994304 in words is "nine hundred forty-two million, nine hundred ninety-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 127 128 224 254 448 508 889 896 1016 1778 2032 3556 4064 7112 8128 8287 14224 16256 16574 28448 33148 56896 58009 66296 113792 116018 132592 232036 265184 464072 530368 928144 1052449 1060736 1856288 2104898 3712576 4209796 7367143 7425152 8419592 14734286 16839184 29468572 33678368 58937144 67356736 117874288 134713472 235748576 471497152 942994304