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2983376 = 241122367
BaseRepresentation
bin1011011000010111010000
312121120102102
423120113100
51230432001
6143535532
734233614
oct13302720
95546372
102983376
111758500
12bba5a8
13805c16
14579344
153dde6b
hex2d85d0

2983376 has 60 divisors (see below), whose sum is σ = 6728736. Its totient is φ = 1277760.

The previous prime is 2983373. The next prime is 2983397. The reversal of 2983376 is 6733892.

It is a d-powerful number, because it can be written as 2 + 96 + 85 + 3 + 313 + 77 + 64 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2983373) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44495 + ... + 44561.

22983376 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 2983376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3364368).

2983376 is an abundant number, since it is smaller than the sum of its proper divisors (3745360).

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

2983376 is a wasteful number, since it uses less digits than its factorization.

2983376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 103 counting only the distinct ones).

The product of its digits is 54432, while the sum is 38.

The square root of 2983376 is about 1727.2452055224. The cubic root of 2983376 is about 143.9580639201.

The spelling of 2983376 in words is "two million, nine hundred eighty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 23 44 46 67 88 92 121 134 176 184 242 253 268 368 484 506 536 737 968 1012 1072 1474 1541 1936 2024 2783 2948 3082 4048 5566 5896 6164 8107 11132 11792 12328 16214 16951 22264 24656 32428 33902 44528 64856 67804 129712 135608 186461 271216 372922 745844 1491688 2983376