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2968784 = 247132039
BaseRepresentation
bin1011010100110011010000
312120211101222
423110303100
51230000114
6143344212
734143230
oct13246320
95524358
102968784
111748545
12bb2068
137cc3a0
14573cc0
153d998e
hex2d4cd0

2968784 has 40 divisors (see below), whose sum is σ = 7082880. Its totient is φ = 1173888.

The previous prime is 2968783. The next prime is 2968787. The reversal of 2968784 is 4878692.

It is a d-powerful number, because it can be written as 27 + 93 + 66 + 83 + 77 + 87 + 43 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2968781) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 437 + ... + 2475.

It is an arithmetic number, because the mean of its divisors is an integer number (177072).

22968784 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 2968784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541440).

2968784 is an abundant number, since it is smaller than the sum of its proper divisors (4114096).

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

2968784 is a wasteful number, since it uses less digits than its factorization.

2968784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067 (or 2061 counting only the distinct ones).

The product of its digits is 193536, while the sum is 44.

The square root of 2968784 is about 1723.0159604600. The cubic root of 2968784 is about 143.7229756382.

The spelling of 2968784 in words is "two million, nine hundred sixty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 2039 4078 8156 14273 16312 26507 28546 32624 53014 57092 106028 114184 185549 212056 228368 371098 424112 742196 1484392 2968784