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3426816 = 2932397
BaseRepresentation
bin1101000100101000000000
320110002201010
431010220000
51334124231
6201240520
741061501
oct15045000
96402633
103426816
111a30688
121193140
1392ca03
14652ba8
1547a546
hex344a00

3426816 has 80 divisors (see below), whose sum is σ = 9624384. Its totient is φ = 1081344.

The previous prime is 3426811. The next prime is 3426823. The reversal of 3426816 is 6186243.

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

It is not an unprimeable number, because it can be changed into a prime (3426811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35280 + ... + 35376.

Almost surely, 23426816 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 3426816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4812192).

3426816 is an abundant number, since it is smaller than the sum of its proper divisors (6197568).

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

3426816 is an equidigital number, since it uses as much as digits as its factorization.

3426816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 125 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 3426816 is about 1851.1661189639. The cubic root of 3426816 is about 150.7637490932.

The spelling of 3426816 in words is "three million, four hundred twenty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 97 128 138 184 192 194 256 276 291 368 384 388 512 552 582 736 768 776 1104 1164 1472 1536 1552 2208 2231 2328 2944 3104 4416 4462 4656 5888 6208 6693 8832 8924 9312 11776 12416 13386 17664 17848 18624 24832 26772 35328 35696 37248 49664 53544 71392 74496 107088 142784 148992 214176 285568 428352 571136 856704 1142272 1713408 3426816