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3479420 = 225729857
BaseRepresentation
bin1101010001011101111100
320112202212102
431101131330
51342320140
6202324232
741401040
oct15213574
96482772
103479420
111a6715a
1211b9678
1394a939
14668020
1548ae15
hex35177c

3479420 has 48 divisors (see below), whose sum is σ = 8648640. Its totient is φ = 1150464.

The previous prime is 3479393. The next prime is 3479423. The reversal of 3479420 is 249743.

3479420 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3479423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3632 + ... + 4488.

It is an arithmetic number, because the mean of its divisors is an integer number (180180).

Almost surely, 23479420 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 3479420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4324320).

3479420 is an abundant number, since it is smaller than the sum of its proper divisors (5169220).

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

3479420 is a wasteful number, since it uses less digits than its factorization.

3479420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 3479420 is about 1865.3203478223. The cubic root of 3479420 is about 151.5312776937.

The spelling of 3479420 in words is "three million, four hundred seventy-nine thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 857 1015 1714 2030 3428 4060 4285 5999 8570 11998 17140 23996 24853 29995 49706 59990 99412 119980 124265 173971 248530 347942 497060 695884 869855 1739710 3479420