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3485328 = 2437112341
BaseRepresentation
bin1101010010111010010000
320120001222020
431102322100
51343012303
6202411440
741424210
oct15227220
96501866
103485328
111a70640
121200b80
13950532
1466a240
1548ca53
hex352e90

3485328 has 160 divisors (see below), whose sum is σ = 11999232. Its totient is φ = 844800.

The previous prime is 3485327. The next prime is 3485353. The reversal of 3485328 is 8235843.

It is a super-2 number, since 2×34853282 = 24295022535168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3485327) 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, 84988 + ... + 85028.

Almost surely, 23485328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3485328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5999616).

3485328 is an abundant number, since it is smaller than the sum of its proper divisors (8513904).

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

3485328 is a wasteful number, since it uses less digits than its factorization.

3485328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 87 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 3485328 is about 1866.9033183323. The cubic root of 3485328 is about 151.6169950988.

The spelling of 3485328 in words is "three million, four hundred eighty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 23 24 28 33 41 42 44 46 48 56 66 69 77 82 84 88 92 112 123 132 138 154 161 164 168 176 184 231 246 253 264 276 287 308 322 328 336 368 451 462 483 492 506 528 552 574 616 644 656 759 861 902 924 943 966 984 1012 1104 1148 1232 1288 1353 1518 1722 1771 1804 1848 1886 1932 1968 2024 2296 2576 2706 2829 3036 3157 3444 3542 3608 3696 3772 3864 4048 4592 5313 5412 5658 6072 6314 6601 6888 7084 7216 7544 7728 9471 10373 10626 10824 11316 12144 12628 13202 13776 14168 15088 18942 19803 20746 21252 21648 22632 25256 26404 28336 31119 37884 39606 41492 42504 45264 50512 52808 62238 72611 75768 79212 82984 85008 105616 124476 145222 151536 158424 165968 217833 248952 290444 316848 435666 497904 580888 871332 1161776 1742664 3485328