Search a number
-
+
30669444 = 2232132712
BaseRepresentation
bin111010011111…
…1101010000100
32010201011120100
41310333222010
530322410234
63013204100
7521454201
oct164775204
963634510
1030669444
1116348453
12a330630
13647a900
144104ca8
152a5c399
hex1d3fa84

30669444 has 81 divisors (see below), whose sum is σ = 85146789. Its totient is φ = 9303840.

The previous prime is 30669421. The next prime is 30669461. The reversal of 30669444 is 44496603.

The square root of 30669444 is 5538.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4536900 + 26132544 = 2130^2 + 5112^2 .

It is a super-2 number, since 2×306694442 = 1881229590538272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30669399 and 30669408.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 431929 + ... + 431999.

Almost surely, 230669444 is an apocalyptic number.

30669444 is the 5538-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30669444

30669444 is an abundant number, since it is smaller than the sum of its proper divisors (54477345).

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

30669444 is a wasteful number, since it uses less digits than its factorization.

30669444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The cubic root of 30669444 is about 313.0175113626.

Multiplying 30669444 by its sum of digits (36), we get a square (1104099984 = 332282).

30669444 divided by its sum of digits (36) gives a square (851929 = 9232).

It can be divided in two parts, 30669 and 444, that added together give a palindrome (31113).

The spelling of 30669444 in words is "thirty million, six hundred sixty-nine thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 71 78 117 142 156 169 213 234 284 338 426 468 507 639 676 852 923 1014 1278 1521 1846 2028 2556 2769 3042 3692 5041 5538 6084 8307 10082 11076 11999 15123 16614 20164 23998 30246 33228 35997 45369 47996 60492 65533 71994 90738 107991 131066 143988 181476 196599 215982 262132 393198 431964 589797 786396 851929 1179594 1703858 2359188 2555787 3407716 5111574 7667361 10223148 15334722 30669444