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30016416 = 2531132767
BaseRepresentation
bin111001010000…
…0001110100000
32002110222210010
41302200032200
530141011131
62551204520
7513064263
oct162401640
962428703
1030016416
1115a41861
12a076740
1362ac5c1
143db4cda
15297db46
hex1ca03a0

30016416 has 48 divisors (see below), whose sum is σ = 79519104. Its totient is φ = 9913344.

The previous prime is 30016411. The next prime is 30016417. The reversal of 30016416 is 61461003.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 30016392 and 30016401.

It is not an unprimeable number, because it can be changed into a prime (30016411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9465 + ... + 12231.

It is an arithmetic number, because the mean of its divisors is an integer number (1656648).

Almost surely, 230016416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30016416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39759552).

30016416 is an abundant number, since it is smaller than the sum of its proper divisors (49502688).

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

30016416 is a wasteful number, since it uses less digits than its factorization.

30016416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2893 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 30016416 is about 5478.7239390208. The cubic root of 30016416 is about 310.7799161817.

Adding to 30016416 its reverse (61461003), we get a palindrome (91477419).

The spelling of 30016416 in words is "thirty million, sixteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 678 904 1356 1808 2712 2767 3616 5424 5534 8301 10848 11068 16602 22136 33204 44272 66408 88544 132816 265632 312671 625342 938013 1250684 1876026 2501368 3752052 5002736 7504104 10005472 15008208 30016416