Search a number
-
+
3125430 = 2325711241
BaseRepresentation
bin1011111011000010110110
312212210021200
423323002312
51300003210
6150553330
735365020
oct13730266
95783250
103125430
111845200
121068846
13855789
145b5010
1541b0c0
hex2fb0b6

3125430 has 144 divisors (see below), whose sum is σ = 10456992. Its totient is φ = 633600.

The previous prime is 3125387. The next prime is 3125449. The reversal of 3125430 is 345213.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 76210 + ... + 76250.

It is an arithmetic number, because the mean of its divisors is an integer number (72618).

Almost surely, 23125430 is an apocalyptic number.

3125430 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 3125430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5228496).

3125430 is an abundant number, since it is smaller than the sum of its proper divisors (7331562).

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

3125430 is a wasteful number, since it uses less digits than its factorization.

3125430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3125430 is about 1767.8885711492. Note that the first 3 decimals coincide. The cubic root of 3125430 is about 146.2075923504.

The spelling of 3125430 in words is "three million, one hundred twenty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 41 42 45 55 63 66 70 77 82 90 99 105 110 121 123 126 154 165 198 205 210 231 242 246 287 315 330 363 369 385 410 451 462 495 574 605 615 630 693 726 738 770 847 861 902 990 1089 1155 1210 1230 1353 1386 1435 1694 1722 1815 1845 2178 2255 2310 2541 2583 2706 2870 3157 3465 3630 3690 4059 4235 4305 4510 4961 5082 5166 5445 6314 6765 6930 7623 8118 8470 8610 9471 9922 10890 12705 12915 13530 14883 15246 15785 18942 20295 24805 25410 25830 28413 29766 31570 34727 38115 40590 44649 47355 49610 56826 69454 74415 76230 89298 94710 104181 142065 148830 173635 208362 223245 284130 312543 347270 446490 520905 625086 1041810 1562715 3125430