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3076416 = 263272109
BaseRepresentation
bin1011101111000101000000
312210022001100
423233011000
51241421131
6145534400
735102100
oct13570500
95708040
103076416
1118113a2
121044400
13839385
145a1200
1540b7e6
hex2ef140

3076416 has 126 divisors (see below), whose sum is σ = 10351770. Its totient is φ = 870912.

The previous prime is 3076399. The next prime is 3076417. The reversal of 3076416 is 6146703.

It can be written as a sum of positive squares in only one way, i.e., 2822400 + 254016 = 1680^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3076416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3076417) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28170 + ... + 28278.

Almost surely, 23076416 is an apocalyptic number.

3076416 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 3076416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5175885).

3076416 is an abundant number, since it is smaller than the sum of its proper divisors (7275354).

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

3076416 is a wasteful number, since it uses less digits than its factorization.

3076416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3076416 is about 1753.9714934970. The cubic root of 3076416 is about 145.4392703656.

The spelling of 3076416 in words is "three million, seventy-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 109 112 126 144 147 168 192 196 218 224 252 288 294 327 336 392 436 441 448 504 576 588 654 672 763 784 872 882 981 1008 1176 1308 1344 1526 1568 1744 1764 1962 2016 2289 2352 2616 3052 3136 3488 3528 3924 4032 4578 4704 5232 5341 6104 6867 6976 7056 7848 9156 9408 10464 10682 12208 13734 14112 15696 16023 18312 20928 21364 24416 27468 28224 31392 32046 36624 42728 48069 48832 54936 62784 64092 73248 85456 96138 109872 128184 146496 170912 192276 219744 256368 341824 384552 439488 512736 769104 1025472 1538208 3076416