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3073896 = 2333719107
BaseRepresentation
bin1011101110011101101000
312210011121000
423232131220
51241331041
6145515000
735061540
oct13563550
95704530
103073896
11180a511
121042a60
13838197
145a0320
1540abb6
hex2ee768

3073896 has 128 divisors (see below), whose sum is σ = 10368000. Its totient is φ = 824256.

The previous prime is 3073891. The next prime is 3073901. The reversal of 3073896 is 6983703.

It is an interprime number because it is at equal distance from previous prime (3073891) and next prime (3073901).

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 3073896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3073891) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 28675 + ... + 28781.

It is an arithmetic number, because the mean of its divisors is an integer number (81000).

Almost surely, 23073896 is an apocalyptic number.

3073896 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 3073896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184000).

3073896 is an abundant number, since it is smaller than the sum of its proper divisors (7294104).

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

3073896 is a wasteful number, since it uses less digits than its factorization.

3073896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 138 counting only the distinct ones).

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

The square root of 3073896 is about 1753.2529766123. The cubic root of 3073896 is about 145.3995480524.

It can be divided in two parts, 3073 and 896, that added together give a square (3969 = 632).

The spelling of 3073896 in words is "three million, seventy-three thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 84 107 108 114 126 133 152 168 171 189 214 216 228 252 266 321 342 378 399 428 456 504 513 532 642 684 749 756 798 856 963 1026 1064 1197 1284 1368 1498 1512 1596 1926 2033 2052 2247 2394 2568 2889 2996 3192 3591 3852 4066 4104 4494 4788 5778 5992 6099 6741 7182 7704 8132 8988 9576 11556 12198 13482 14231 14364 16264 17976 18297 20223 23112 24396 26964 28462 28728 36594 40446 42693 48792 53928 54891 56924 73188 80892 85386 109782 113848 128079 146376 161784 170772 219564 256158 341544 384237 439128 512316 768474 1024632 1536948 3073896