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3076840 = 235136197
BaseRepresentation
bin1011101111001011101000
312210022122001
423233023220
51241424330
6145540344
735103244
oct13571350
95708561
103076840
111811748
1210446b4
13839620
145a1424
1540b9ca
hex2ef2e8

3076840 has 64 divisors (see below), whose sum is σ = 7655760. Its totient is φ = 1105920.

The previous prime is 3076823. The next prime is 3076859. The reversal of 3076840 is 486703.

It can be written as a sum of positive squares in 8 ways, for example, as 111556 + 2965284 = 334^2 + 1722^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3076799 and 3076808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31672 + ... + 31768.

Almost surely, 23076840 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 3076840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3827880).

3076840 is an abundant number, since it is smaller than the sum of its proper divisors (4578920).

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

3076840 is a wasteful number, since it uses less digits than its factorization.

3076840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 3076840 is about 1754.0923578877. The cubic root of 3076840 is about 145.4459516703.

It can be divided in two parts, 3076 and 840, that added together give a triangular number (3916 = T88).

The spelling of 3076840 in words is "three million, seventy-six thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 61 65 97 104 122 130 194 244 260 305 388 485 488 520 610 776 793 970 1220 1261 1586 1940 2440 2522 3172 3880 3965 5044 5917 6305 6344 7930 10088 11834 12610 15860 23668 25220 29585 31720 47336 50440 59170 76921 118340 153842 236680 307684 384605 615368 769210 1538420 3076840