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2961376 = 251147179
BaseRepresentation
bin1011010010111111100000
312120110020121
423102333200
51224231001
6143250024
734112515
oct13227740
95513217
102961376
111742a20
12ba9914
137c8bc2
1457130c
153d76a1
hex2d2fe0

2961376 has 48 divisors (see below), whose sum is σ = 6531840. Its totient is φ = 1310080.

The previous prime is 2961373. The next prime is 2961377. The reversal of 2961376 is 6731692.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2961373) 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, 16455 + ... + 16633.

It is an arithmetic number, because the mean of its divisors is an integer number (136080).

22961376 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 2961376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265920).

2961376 is an abundant number, since it is smaller than the sum of its proper divisors (3570464).

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

2961376 is a wasteful number, since it uses less digits than its factorization.

2961376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 239 counting only the distinct ones).

The product of its digits is 13608, while the sum is 34.

The square root of 2961376 is about 1720.8648988227. The cubic root of 2961376 is about 143.6033321956.

The spelling of 2961376 in words is "two million, nine hundred sixty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 47 88 94 176 179 188 352 358 376 517 716 752 1034 1432 1504 1969 2068 2864 3938 4136 5728 7876 8272 8413 15752 16544 16826 31504 33652 63008 67304 92543 134608 185086 269216 370172 740344 1480688 2961376