Search a number
-
+
3134120 = 2351117419
BaseRepresentation
bin1011111101001010101000
312220020012112
423331022220
51300242440
6151101452
735432243
oct13751250
95806175
103134120
111850790
121071888
13859712
145b825a
1541d965
hex2fd2a8

3134120 has 64 divisors (see below), whose sum is σ = 8164800. Its totient is φ = 1070080.

The previous prime is 3134113. The next prime is 3134123. The reversal of 3134120 is 214313.

It is a junction number, because it is equal to n+sod(n) for n = 3134095 and 3134104.

It is not an unprimeable number, because it can be changed into a prime (3134123) 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, 7271 + ... + 7689.

It is an arithmetic number, because the mean of its divisors is an integer number (127575).

Almost surely, 23134120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3134120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082400).

3134120 is an abundant number, since it is smaller than the sum of its proper divisors (5030680).

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

3134120 is a wasteful number, since it uses less digits than its factorization.

3134120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 3134120 is about 1770.3445992236. The cubic root of 3134120 is about 146.3429730016.

Adding to 3134120 its reverse (214313), we get a palindrome (3348433).

The spelling of 3134120 in words is "three million, one hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 419 440 680 748 838 935 1496 1676 1870 2095 3352 3740 4190 4609 7123 7480 8380 9218 14246 16760 18436 23045 28492 35615 36872 46090 56984 71230 78353 92180 142460 156706 184360 284920 313412 391765 626824 783530 1567060 3134120