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3420720 = 243254751
BaseRepresentation
bin1101000011001000110000
320102210100100
431003020300
51333430340
6201152400
741034642
oct15031060
96383310
103420720
111a27046
12118b700
13929cc4
14650892
15478830
hex343230

3420720 has 60 divisors (see below), whose sum is σ = 11490336. Its totient is φ = 912000.

The previous prime is 3420713. The next prime is 3420727. The reversal of 3420720 is 270243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3420713) and next prime (3420727).

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 3420693 and 3420702.

It is not an unprimeable number, because it can be changed into a prime (3420727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1656 + ... + 3095.

Almost surely, 23420720 is an apocalyptic number.

3420720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3420720 is an abundant number, since it is smaller than the sum of its proper divisors (8069616).

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

3420720 is a wasteful number, since it uses less digits than its factorization.

3420720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4770 (or 4761 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 3420720 is about 1849.5188563516. The cubic root of 3420720 is about 150.6742976095.

Adding to 3420720 its reverse (270243), we get a palindrome (3690963).

The spelling of 3420720 in words is "three million, four hundred twenty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 4751 9502 14253 19004 23755 28506 38008 42759 47510 57012 71265 76016 85518 95020 114024 142530 171036 190040 213795 228048 285060 342072 380080 427590 570120 684144 855180 1140240 1710360 3420720