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3426864 = 243723147
BaseRepresentation
bin1101000100101000110000
320110002202220
431010220300
51334124424
6201241040
741061600
oct15045060
96402686
103426864
111a30721
121193180
1392ca3c
14652c00
1547a579
hex344a30

3426864 has 120 divisors (see below), whose sum is σ = 10856448. Its totient is φ = 927360.

The previous prime is 3426853. The next prime is 3426887. The reversal of 3426864 is 4686243.

3426864 = T301 + T302 + ... + T362.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72889 + ... + 72935.

Almost surely, 23426864 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 3426864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5428224).

3426864 is an abundant number, since it is smaller than the sum of its proper divisors (7429584).

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

3426864 is a wasteful number, since it uses less digits than its factorization.

3426864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 90 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 3426864 is about 1851.1790837193. The cubic root of 3426864 is about 150.7644530145.

The spelling of 3426864 in words is "three million, four hundred twenty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 47 48 49 56 62 84 93 94 98 112 124 141 147 168 186 188 196 217 248 282 294 329 336 372 376 392 434 496 564 588 651 658 744 752 784 868 987 1128 1176 1302 1316 1457 1488 1519 1736 1974 2256 2303 2352 2604 2632 2914 3038 3472 3948 4371 4557 4606 5208 5264 5828 6076 6909 7896 8742 9114 9212 10199 10416 11656 12152 13818 15792 17484 18228 18424 20398 23312 24304 27636 30597 34968 36456 36848 40796 55272 61194 69936 71393 72912 81592 110544 122388 142786 163184 214179 244776 285572 428358 489552 571144 856716 1142288 1713432 3426864