Search a number
-
+
30034416 = 2431813457
BaseRepresentation
bin111001010010…
…0100111110000
32002111220110210
41302210213300
530142100131
62551424120
7513200616
oct162444760
962456423
1030034416
1115a54335
12a085040
1362b7859
143dbb6b6
152984146
hex1ca49f0

30034416 has 40 divisors (see below), whose sum is σ = 78040144. Its totient is φ = 9953280.

The previous prime is 30034397. The next prime is 30034439. The reversal of 30034416 is 61443003.

It is a super-2 number, since 2×300344162 = 1804132288922112, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30034392 and 30034401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6960 + ... + 10416.

Almost surely, 230034416 is an apocalyptic number.

It is an amenable number.

30034416 is an abundant number, since it is smaller than the sum of its proper divisors (48005728).

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

30034416 is a wasteful number, since it uses less digits than its factorization.

30034416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3649 (or 3643 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 30034416 is about 5480.3664111079. The cubic root of 30034416 is about 310.8420257584.

Adding to 30034416 its reverse (61443003), we get a palindrome (91477419).

It can be divided in two parts, 300 and 34416, that added together give a triangular number (34716 = T263).

The spelling of 30034416 in words is "thirty million, thirty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 181 362 543 724 1086 1448 2172 2896 3457 4344 6914 8688 10371 13828 20742 27656 41484 55312 82968 165936 625717 1251434 1877151 2502868 3754302 5005736 7508604 10011472 15017208 30034416