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3034416 = 243711821
BaseRepresentation
bin1011100100110100110000
312201011102210
423210310300
51234100131
6145012120
734535460
oct13446460
95634383
103034416
111792890
121024040
13823218
1458dba0
153ee146
hex2e4d30

3034416 has 80 divisors (see below), whose sum is σ = 9785088. Its totient is φ = 787200.

The previous prime is 3034403. The next prime is 3034439. The reversal of 3034416 is 6144303.

3034416 is a nontrivial binomial coefficient, being equal to C(2464, 2).

It is a super-2 number, since 2×30344162 = 18415360922112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 3034392 and 3034401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3286 + ... + 4106.

Almost surely, 23034416 is an apocalyptic number.

3034416 is the 2463-rd triangular number and also the 1232-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3034416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4892544).

3034416 is an abundant number, since it is smaller than the sum of its proper divisors (6750672).

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

3034416 is a wasteful number, since it uses less digits than its factorization.

3034416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3034416 is about 1741.9575195739. The cubic root of 3034416 is about 144.7743776077.

Multiplying 3034416 by its sum of digits (21), we get a palindrome (63722736).

Adding to 3034416 its reverse (6144303), we get a palindrome (9178719).

The spelling of 3034416 in words is "three million, thirty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 821 924 1232 1642 1848 2463 3284 3696 4926 5747 6568 9031 9852 11494 13136 17241 18062 19704 22988 27093 34482 36124 39408 45976 54186 63217 68964 72248 91952 108372 126434 137928 144496 189651 216744 252868 275856 379302 433488 505736 758604 1011472 1517208 3034416