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3411072 = 2734747
BaseRepresentation
bin1101000000110010000000
320102022010000
431000302000
51333123242
6201040000
740664550
oct15006200
96368100
103411072
111a1a875
121186000
139257b2
1464b160
15475a4c
hex340c80

3411072 has 160 divisors (see below), whose sum is σ = 11848320. Its totient is φ = 953856.

The previous prime is 3411049. The next prime is 3411091. The reversal of 3411072 is 2701143.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72553 + ... + 72599.

It is an arithmetic number, because the mean of its divisors is an integer number (74052).

Almost surely, 23411072 is an apocalyptic number.

3411072 is a gapful number since it is divisible by the number (32) 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 3411072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5924160).

3411072 is an abundant number, since it is smaller than the sum of its proper divisors (8437248).

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

3411072 is an equidigital number, since it uses as much as digits as its factorization.

3411072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 3411072 is about 1846.9087687268. The cubic root of 3411072 is about 150.5325073359.

The spelling of 3411072 in words is "three million, four hundred eleven thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 47 48 54 56 63 64 72 81 84 94 96 108 112 126 128 141 144 162 168 188 189 192 216 224 252 282 288 324 329 336 376 378 384 423 432 448 504 564 567 576 648 658 672 752 756 846 864 896 987 1008 1128 1134 1152 1269 1296 1316 1344 1504 1512 1692 1728 1974 2016 2256 2268 2538 2592 2632 2688 2961 3008 3024 3384 3456 3807 3948 4032 4512 4536 5076 5184 5264 5922 6016 6048 6768 7614 7896 8064 8883 9024 9072 10152 10368 10528 11844 12096 13536 15228 15792 17766 18048 18144 20304 21056 23688 24192 26649 27072 30456 31584 35532 36288 40608 42112 47376 53298 54144 60912 63168 71064 72576 81216 94752 106596 121824 126336 142128 162432 189504 213192 243648 284256 379008 426384 487296 568512 852768 1137024 1705536 3411072