Search a number
-
+
2329984 = 27109167
BaseRepresentation
bin1000111000110110000000
311101101010201
420320312000
51044024414
6121534544
725542646
oct10706600
94341121
102329984
111351608
12944454
136376b7
14449196
15310574
hex238d80

2329984 has 32 divisors (see below), whose sum is σ = 4712400. Its totient is φ = 1147392.

The previous prime is 2329979. The next prime is 2329997. The reversal of 2329984 is 4899232.

2329984 = 823 + 833 + ... + 853.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13869 + ... + 14035.

22329984 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 2329984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356200).

2329984 is an abundant number, since it is smaller than the sum of its proper divisors (2382416).

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

2329984 is a wasteful number, since it uses less digits than its factorization.

2329984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 278 counting only the distinct ones).

The product of its digits is 31104, while the sum is 37.

The square root of 2329984 is about 1526.4285112641. The cubic root of 2329984 is about 132.5717470690.

The spelling of 2329984 in words is "two million, three hundred twenty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 109 128 167 218 334 436 668 872 1336 1744 2672 3488 5344 6976 10688 13952 18203 21376 36406 72812 145624 291248 582496 1164992 2329984