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30016624 = 2411295881
BaseRepresentation
bin111001010000…
…0010001110000
32002111000001211
41302200101300
530141012444
62551205504
7513065011
oct162402160
962430054
1030016624
1115a41a30
12a076894
1362ac721
143db5008
15297dc34
hex1ca0470

30016624 has 40 divisors (see below), whose sum is σ = 65643120. Its totient is φ = 13171200.

The previous prime is 30016621. The next prime is 30016627. The reversal of 30016624 is 42661003.

It is an interprime number because it is at equal distance from previous prime (30016621) and next prime (30016627).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 30016595 and 30016604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30016621) 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, 2164 + ... + 8044.

It is an arithmetic number, because the mean of its divisors is an integer number (1641078).

Almost surely, 230016624 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 30016624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32821560).

30016624 is an abundant number, since it is smaller than the sum of its proper divisors (35626496).

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

30016624 is a wasteful number, since it uses less digits than its factorization.

30016624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5929 (or 5923 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 30016624 is about 5478.7429215104. The cubic root of 30016624 is about 310.7806340342.

Adding to 30016624 its reverse (42661003), we get a palindrome (72677627).

The spelling of 30016624 in words is "thirty million, sixteen thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 232 319 464 638 1276 2552 5104 5881 11762 23524 47048 64691 94096 129382 170549 258764 341098 517528 682196 1035056 1364392 1876039 2728784 3752078 7504156 15008312 30016624