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3380976 = 243253443
BaseRepresentation
bin1100111001011011110000
320100202211100
430321123300
51331142401
6200244400
740511034
oct14713360
96322740
103380976
1119aa1a5
121170700
13914ba1
146401c4
1546bb86
hex3396f0

3380976 has 60 divisors (see below), whose sum is σ = 9662328. Its totient is φ = 1103232.

The previous prime is 3380969. The next prime is 3380981. The reversal of 3380976 is 6790833.

It is a super-2 number, since 2×33809762 = 22861997425152, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3380976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7411 + ... + 7853.

Almost surely, 23380976 is an apocalyptic number.

3380976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3380976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4831164).

3380976 is an abundant number, since it is smaller than the sum of its proper divisors (6281352).

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

3380976 is a wasteful number, since it uses less digits than its factorization.

3380976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3380976 is about 1838.7430489332. The cubic root of 3380976 is about 150.0884811303.

It can be divided in two parts, 3380 and 976, that added together give a square (4356 = 662).

The spelling of 3380976 in words is "three million, three hundred eighty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 443 477 636 848 886 954 1272 1329 1772 1908 2544 2658 3544 3816 3987 5316 7088 7632 7974 10632 15948 21264 23479 31896 46958 63792 70437 93916 140874 187832 211311 281748 375664 422622 563496 845244 1126992 1690488 3380976