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3134320 = 245729193
BaseRepresentation
bin1011111101001101110000
312220020110221
423331031300
51300244240
6151102424
735432650
oct13751560
95806427
103134320
111850952
121071a14
13859837
145b8360
1541da4a
hex2fd370

3134320 has 80 divisors (see below), whose sum is σ = 8660160. Its totient is φ = 1032192.

The previous prime is 3134309. The next prime is 3134321. The reversal of 3134320 is 234313.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3134294 and 3134303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3134321) 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, 16144 + ... + 16336.

It is an arithmetic number, because the mean of its divisors is an integer number (108252).

Almost surely, 23134320 is an apocalyptic number.

3134320 is the 1120-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3134320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4330080).

3134320 is an abundant number, since it is smaller than the sum of its proper divisors (5525840).

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

3134320 is a wasteful number, since it uses less digits than its factorization.

3134320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 3134320 is about 1770.4010845003. The cubic root of 3134320 is about 146.3460858341.

Adding to 3134320 its reverse (234313), we get a palindrome (3368633).

The spelling of 3134320 in words is "three million, one hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 140 145 193 203 232 280 290 386 406 464 560 580 772 812 965 1015 1160 1351 1544 1624 1930 2030 2320 2702 3088 3248 3860 4060 5404 5597 6755 7720 8120 10808 11194 13510 15440 16240 21616 22388 27020 27985 39179 44776 54040 55970 78358 89552 108080 111940 156716 195895 223880 313432 391790 447760 626864 783580 1567160 3134320