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3422720 = 2957191
BaseRepresentation
bin1101000011101000000000
320102220002102
431003220000
51334011340
6201205532
741043530
oct15035000
96386072
103422720
111a285a4
1211908a8
1392aba2
146514c0
15479215
hex343a00

3422720 has 80 divisors (see below), whose sum is σ = 9427968. Its totient is φ = 1167360.

The previous prime is 3422707. The next prime is 3422723. The reversal of 3422720 is 272243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3422692 and 3422701.

It is not an unprimeable number, because it can be changed into a prime (3422723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17825 + ... + 18015.

Almost surely, 23422720 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 3422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4713984).

3422720 is an abundant number, since it is smaller than the sum of its proper divisors (6005248).

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

3422720 is an equidigital number, since it uses as much as digits as its factorization.

3422720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 3422720 is about 1850.0594585040. The cubic root of 3422720 is about 150.7036569144.

Adding to 3422720 its reverse (272243), we get a palindrome (3694963).

The spelling of 3422720 in words is "three million, four hundred twenty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 191 224 256 280 320 382 448 512 560 640 764 896 955 1120 1280 1337 1528 1792 1910 2240 2560 2674 3056 3584 3820 4480 5348 6112 6685 7640 8960 10696 12224 13370 15280 17920 21392 24448 26740 30560 42784 48896 53480 61120 85568 97792 106960 122240 171136 213920 244480 342272 427840 488960 684544 855680 1711360 3422720