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30241616 = 2419313209
BaseRepresentation
bin111001101011…
…1001101010000
32002220102200212
41303113031100
530220212431
63000103252
7515022656
oct163271520
962812625
1030241616
1116085a79
12a164b28
13635ac62
144032dd6
1529c572b
hex1cd7350

30241616 has 40 divisors (see below), whose sum is σ = 63686400. Its totient is φ = 13858560.

The previous prime is 30241609. The next prime is 30241643. The reversal of 30241616 is 61614203.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 30241591 and 30241600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7820 + ... + 11028.

It is an arithmetic number, because the mean of its divisors is an integer number (1592160).

Almost surely, 230241616 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 30241616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31843200).

30241616 is an abundant number, since it is smaller than the sum of its proper divisors (33444784).

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

30241616 is a wasteful number, since it uses less digits than its factorization.

30241616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3267 (or 3261 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 30241616 is about 5499.2377653635. The cubic root of 30241616 is about 311.5551956620. Note that the first 3 decimals are identical.

Adding to 30241616 its reverse (61614203), we get a palindrome (91855819).

The spelling of 30241616 in words is "thirty million, two hundred forty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 19 31 38 62 76 124 152 248 304 496 589 1178 2356 3209 4712 6418 9424 12836 25672 51344 60971 99479 121942 198958 243884 397916 487768 795832 975536 1591664 1890101 3780202 7560404 15120808 30241616