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3422304 = 253317233
BaseRepresentation
bin1101000011100001100000
320102212112000
431003201200
51334003204
6201204000
741042364
oct15034140
96385460
103422304
111a28256
121190600
1392a942
146512a4
15479039
hex343860

3422304 has 96 divisors (see below), whose sum is σ = 10614240. Its totient is φ = 1069056.

The previous prime is 3422303. The next prime is 3422323. The reversal of 3422304 is 4032243.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3422303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14572 + ... + 14804.

It is an arithmetic number, because the mean of its divisors is an integer number (110565).

Almost surely, 23422304 is an apocalyptic number.

3422304 is a gapful number since it is divisible by the number (34) 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 3422304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5307120).

3422304 is an abundant number, since it is smaller than the sum of its proper divisors (7191936).

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

3422304 is a wasteful number, since it uses less digits than its factorization.

3422304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3422304 is about 1849.9470262686. The cubic root of 3422304 is about 150.6975511212.

Adding to 3422304 its reverse (4032243), we get a palindrome (7454547).

The spelling of 3422304 in words is "three million, four hundred twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 233 272 288 306 408 432 459 466 544 612 699 816 864 918 932 1224 1398 1632 1836 1864 2097 2448 2796 3672 3728 3961 4194 4896 5592 6291 7344 7456 7922 8388 11184 11883 12582 14688 15844 16776 22368 23766 25164 31688 33552 35649 47532 50328 63376 67104 71298 95064 100656 106947 126752 142596 190128 201312 213894 285192 380256 427788 570384 855576 1140768 1711152 3422304