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3420300 = 2235213877
BaseRepresentation
bin1101000011000010001100
320102202202210
431003002030
51333422200
6201150420
741033502
oct15030214
96382683
103420300
111a267a4
12118b410
13929a60
14650672
15478650
hex34308c

3420300 has 72 divisors (see below), whose sum is σ = 10669456. Its totient is φ = 840960.

The previous prime is 3420299. The next prime is 3420337. The reversal of 3420300 is 30243.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3462 + ... + 4338.

Almost surely, 23420300 is an apocalyptic number.

3420300 is a gapful number since it is divisible by the number (30) 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 3420300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5334728).

3420300 is an abundant number, since it is smaller than the sum of its proper divisors (7249156).

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

3420300 is a wasteful number, since it uses less digits than its factorization.

3420300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 3420300 is about 1849.4053098226. The cubic root of 3420300 is about 150.6681307017.

Adding to 3420300 its reverse (30243), we get a palindrome (3450543).

The spelling of 3420300 in words is "three million, four hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 877 975 1300 1754 1950 2631 3508 3900 4385 5262 8770 10524 11401 13155 17540 21925 22802 26310 34203 43850 45604 52620 57005 65775 68406 87700 114010 131550 136812 171015 228020 263100 285025 342030 570050 684060 855075 1140100 1710150 3420300