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3134430 = 2335131947
BaseRepresentation
bin1011111101001111011110
312220020122000
423331033132
51300300210
6151103130
735433165
oct13751736
95806560
103134430
111850a42
121071aa6
138598c0
145b83dc
1541dac0
hex2fd3de

3134430 has 128 divisors (see below), whose sum is σ = 9676800. Its totient is φ = 715392.

The previous prime is 3134419. The next prime is 3134431. The reversal of 3134430 is 344313.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3134431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66667 + ... + 66713.

It is an arithmetic number, because the mean of its divisors is an integer number (75600).

Almost surely, 23134430 is an apocalyptic number.

3134430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3134430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838400).

3134430 is an abundant number, since it is smaller than the sum of its proper divisors (6542370).

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

3134430 is a wasteful number, since it uses less digits than its factorization.

3134430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3134430 is about 1770.4321506344. The cubic root of 3134430 is about 146.3477978356.

Adding to 3134430 its reverse (344313), we get a palindrome (3478743).

The spelling of 3134430 in words is "three million, one hundred thirty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 27 30 38 39 45 47 54 57 65 78 90 94 95 114 117 130 135 141 171 190 195 234 235 247 270 282 285 342 351 390 423 470 494 513 570 585 611 702 705 741 846 855 893 1026 1170 1222 1235 1269 1410 1482 1710 1755 1786 1833 2115 2223 2470 2538 2565 2679 3055 3510 3666 3705 4230 4446 4465 5130 5358 5499 6110 6345 6669 7410 8037 8930 9165 10998 11115 11609 12690 13338 13395 16074 16497 18330 22230 23218 24111 26790 27495 32994 33345 34827 40185 48222 54990 58045 66690 69654 80370 82485 104481 116090 120555 164970 174135 208962 241110 313443 348270 522405 626886 1044810 1567215 3134430