Search a number
-
+
994464 = 25331151
BaseRepresentation
bin11110010110010100000
31212112011000
43302302200
5223310324
633152000
711311212
oct3626240
91775130
10994464
1161a179
123bb600
1328a853
141bc5b2
151499c9
hexf2ca0

994464 has 48 divisors (see below), whose sum is σ = 2903040. Its totient is φ = 331200.

The previous prime is 994457. The next prime is 994471. The reversal of 994464 is 464499.

It is an interprime number because it is at equal distance from previous prime (994457) and next prime (994471).

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 994464.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 289 + ... + 1439.

It is an arithmetic number, because the mean of its divisors is an integer number (60480).

2994464 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 994464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451520).

994464 is an abundant number, since it is smaller than the sum of its proper divisors (1908576).

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

994464 is a wasteful number, since it uses less digits than its factorization.

994464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1156 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 994464 is about 997.2281584472. The cubic root of 994464 is about 99.8151250900.

The spelling of 994464 in words is "nine hundred ninety-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1151 2302 3453 4604 6906 9208 10359 13812 18416 20718 27624 31077 36832 41436 55248 62154 82872 110496 124308 165744 248616 331488 497232 994464