Search a number
-
+
3403020 = 2235431319
BaseRepresentation
bin1100111110110100001100
320101220001210
430332310030
51332344040
6200534420
740632225
oct14766414
96356053
103403020
111a14815
121181410
13921c2a
1464824c
15473480
hex33ed0c

3403020 has 48 divisors (see below), whose sum is σ = 9757440. Its totient is φ = 885696.

The previous prime is 3403019. The next prime is 3403021. The reversal of 3403020 is 203043.

It is an interprime number because it is at equal distance from previous prime (3403019) and next prime (3403021).

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

It is a junction number, because it is equal to n+sod(n) for n = 3402987 and 3403005.

It is not an unprimeable number, because it can be changed into a prime (3403021) 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, 1921 + ... + 3239.

It is an arithmetic number, because the mean of its divisors is an integer number (203280).

Almost surely, 23403020 is an apocalyptic number.

3403020 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 3403020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4878720).

3403020 is an abundant number, since it is smaller than the sum of its proper divisors (6354420).

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

3403020 is a wasteful number, since it uses less digits than its factorization.

3403020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1372 counting only the distinct ones).

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

The square root of 3403020 is about 1844.7276221708. The cubic root of 3403020 is about 150.4139675990.

Adding to 3403020 its reverse (203043), we get a palindrome (3606063).

The spelling of 3403020 in words is "three million, four hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 1319 2580 2638 3957 5276 6595 7914 13190 15828 19785 26380 39570 56717 79140 113434 170151 226868 283585 340302 567170 680604 850755 1134340 1701510 3403020