Search a number
-
+
3130380 = 22335111731
BaseRepresentation
bin1011111100010000001100
312220001002000
423330100030
51300133010
6151032300
735415321
oct13742014
95801060
103130380
1118489a0
12106b690
13857ac6
145b6b48
1541c7c0
hex2fc40c

3130380 has 192 divisors, whose sum is σ = 11612160. Its totient is φ = 691200.

The previous prime is 3130373. The next prime is 3130399. The reversal of 3130380 is 830313.

3130380 = T355 + T356 + ... + T398.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100965 + ... + 100995.

It is an arithmetic number, because the mean of its divisors is an integer number (60480).

Almost surely, 23130380 is an apocalyptic number.

3130380 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 3130380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806080).

3130380 is an abundant number, since it is smaller than the sum of its proper divisors (8481780).

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

3130380 is a wasteful number, since it uses less digits than its factorization.

3130380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3130380 is about 1769.2879923856. The cubic root of 3130380 is about 146.2847386250.

Adding to 3130380 its reverse (830313), we get a palindrome (3960693).

The spelling of 3130380 in words is "three million, one hundred thirty thousand, three hundred eighty".