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994428384 = 253191493659
BaseRepresentation
bin111011010001011…
…100010111100000
32120022012012021220
4323101130113200
54014033202014
6242402015040
733433334055
oct7321342740
92508165256
10994428384
11470368844
12239047480
1312b039181
14960db02c
155c4806a9
hex3b45c5e0

994428384 has 96 divisors (see below), whose sum is σ = 2766960000. Its totient is φ = 311837184.

The previous prime is 994428377. The next prime is 994428427. The reversal of 994428384 is 483824499.

994428384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269947 + ... + 273605.

It is an arithmetic number, because the mean of its divisors is an integer number (28822500).

Almost surely, 2994428384 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 994428384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383480000).

994428384 is an abundant number, since it is smaller than the sum of its proper divisors (1772531616).

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

994428384 is a wasteful number, since it uses less digits than its factorization.

994428384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3840 (or 3832 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 51.

The square root of 994428384 is about 31534.5585667534. The cubic root of 994428384 is about 998.1393347387.

The spelling of 994428384 in words is "nine hundred ninety-four million, four hundred twenty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 149 152 228 298 304 447 456 596 608 894 912 1192 1788 1824 2384 2831 3576 3659 4768 5662 7152 7318 8493 10977 11324 14304 14636 16986 21954 22648 29272 33972 43908 45296 58544 67944 69521 87816 90592 117088 135888 139042 175632 208563 271776 278084 351264 417126 545191 556168 834252 1090382 1112336 1635573 1668504 2180764 2224672 3271146 3337008 4361528 6542292 6674016 8723056 10358629 13084584 17446112 20717258 26169168 31075887 41434516 52338336 62151774 82869032 124303548 165738064 248607096 331476128 497214192 994428384