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3094416 = 2433131929
BaseRepresentation
bin1011110011011110010000
312211012202000
423303132100
51243010131
6150154000
735205423
oct13633620
95735660
103094416
111823976
121052900
13844620
145a79ba
15411ce6
hex2f3790

3094416 has 160 divisors (see below), whose sum is σ = 10416000. Its totient is φ = 870912.

The previous prime is 3094411. The next prime is 3094417. The reversal of 3094416 is 6144903.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 3094416.

It is not an unprimeable number, because it can be changed into a prime (3094411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106690 + ... + 106718.

It is an arithmetic number, because the mean of its divisors is an integer number (65100).

Almost surely, 23094416 is an apocalyptic number.

3094416 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 3094416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5208000).

3094416 is an abundant number, since it is smaller than the sum of its proper divisors (7321584).

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

3094416 is a wasteful number, since it uses less digits than its factorization.

3094416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3094416 is about 1759.0952219820. The cubic root of 3094416 is about 145.7223722650.

The spelling of 3094416 in words is "three million, ninety-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 29 36 38 39 48 52 54 57 58 72 76 78 87 104 108 114 116 117 144 152 156 171 174 208 216 228 232 234 247 261 304 312 342 348 351 377 432 456 464 468 494 513 522 551 624 684 696 702 741 754 783 912 936 988 1026 1044 1102 1131 1368 1392 1404 1482 1508 1566 1653 1872 1976 2052 2088 2204 2223 2262 2736 2808 2964 3016 3132 3306 3393 3952 4104 4176 4408 4446 4524 4959 5616 5928 6032 6264 6612 6669 6786 7163 8208 8816 8892 9048 9918 10179 11856 12528 13224 13338 13572 14326 14877 17784 18096 19836 20358 21489 26448 26676 27144 28652 29754 35568 39672 40716 42978 53352 54288 57304 59508 64467 79344 81432 85956 106704 114608 119016 128934 162864 171912 193401 238032 257868 343824 386802 515736 773604 1031472 1547208 3094416