Search a number
-
+
30076230 = 2351723469
BaseRepresentation
bin111001010111…
…0110101000110
32002121000211110
41302232311012
530144414410
62552345450
7513433542
oct162566506
962530743
1030076230
1115a82798
12a0a5286
1363008b2
143dcca22
152991720
hex1caed46

30076230 has 48 divisors (see below), whose sum is σ = 76700880. Its totient is φ = 7546368.

The previous prime is 30076229. The next prime is 30076279. The reversal of 30076230 is 3267003.

It is a super-3 number, since 3×300762303 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 30076197 and 30076206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6936 + ... + 10404.

It is an arithmetic number, because the mean of its divisors is an integer number (1597935).

Almost surely, 230076230 is an apocalyptic number.

30076230 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 30076230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38350440).

30076230 is an abundant number, since it is smaller than the sum of its proper divisors (46624650).

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

30076230 is a wasteful number, since it uses less digits than its factorization.

30076230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3513 (or 3496 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 30076230 is about 5484.1799751649. The cubic root of 30076230 is about 310.9862105871.

The spelling of 30076230 in words is "thirty million, seventy-six thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 289 510 578 867 1445 1734 2890 3469 4335 6938 8670 10407 17345 20814 34690 52035 58973 104070 117946 176919 294865 353838 589730 884595 1002541 1769190 2005082 3007623 5012705 6015246 10025410 15038115 30076230