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30467430 = 23257137353
BaseRepresentation
bin111010000111…
…0010101100110
32010022220110100
41310032111212
530244424210
63005004530
7516653220
oct164162546
963286410
1030467430
111621a6a4
12a253746
136409986
144091410
152a1c5c0
hex1d0e566

30467430 has 96 divisors (see below), whose sum is σ = 91450944. Its totient is φ = 6893568.

The previous prime is 30467419. The next prime is 30467447. The reversal of 30467430 is 3476403.

It is a junction number, because it is equal to n+sod(n) for n = 30467394 and 30467403.

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 47 ways as a sum of consecutive naturals, for example, 86134 + ... + 86486.

It is an arithmetic number, because the mean of its divisors is an integer number (952614).

Almost surely, 230467430 is an apocalyptic number.

30467430 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 30467430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45725472).

30467430 is an abundant number, since it is smaller than the sum of its proper divisors (60983514).

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

30467430 is a wasteful number, since it uses less digits than its factorization.

30467430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 30467430 is about 5519.7309717051. The cubic root of 30467430 is about 312.3287338878.

It can be divided in two parts, 304674 and 30, that added together give a square (304704 = 5522).

The spelling of 30467430 in words is "thirty million, four hundred sixty-seven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 137 210 274 315 353 411 630 685 706 822 959 1059 1233 1370 1765 1918 2055 2118 2466 2471 2877 3177 3530 4110 4795 4942 5295 5754 6165 6354 7413 8631 9590 10590 12330 12355 14385 14826 15885 17262 22239 24710 28770 31770 37065 43155 44478 48361 74130 86310 96722 111195 145083 222390 241805 290166 338527 435249 483610 677054 725415 870498 1015581 1450830 1692635 2031162 2176245 3046743 3385270 4352490 5077905 6093486 10155810 15233715 30467430