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3422688 = 253101353
BaseRepresentation
bin1101000011100111100000
320102220001020
431003213200
51334011223
6201205440
741043453
oct15034740
96386036
103422688
111a28575
121190880
1392ab79
1465149a
154791e3
hex3439e0

3422688 has 48 divisors (see below), whose sum is σ = 9099216. Its totient is φ = 1126400.

The previous prime is 3422677. The next prime is 3422693. The reversal of 3422688 is 8862243.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9520 + ... + 9872.

It is an arithmetic number, because the mean of its divisors is an integer number (189567).

Almost surely, 23422688 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 3422688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4549608).

3422688 is an abundant number, since it is smaller than the sum of its proper divisors (5676528).

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

3422688 is a wasteful number, since it uses less digits than its factorization.

3422688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 459 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 3422688 is about 1850.0508101131. The cubic root of 3422688 is about 150.7031872556.

It can be divided in two parts, 34 and 22688, that added together give a palindrome (22722).

The spelling of 3422688 in words is "three million, four hundred twenty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 353 404 606 706 808 1059 1212 1412 1616 2118 2424 2824 3232 4236 4848 5648 8472 9696 11296 16944 33888 35653 71306 106959 142612 213918 285224 427836 570448 855672 1140896 1711344 3422688