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30290616 = 23322989163
BaseRepresentation
bin111001110001…
…1001010111000
32002222220220200
41303203022320
530223244431
63001122200
7515315556
oct163431270
962886820
1030290616
1116109874
12a189360
136377355
144046bd6
1529d4ee6
hex1ce32b8

30290616 has 96 divisors (see below), whose sum is σ = 86346000. Its totient is φ = 9580032.

The previous prime is 30290597. The next prime is 30290629. The reversal of 30290616 is 61609203.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 30290616.

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 23 ways as a sum of consecutive naturals, for example, 185751 + ... + 185913.

Almost surely, 230290616 is an apocalyptic number.

30290616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30290616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43173000).

30290616 is an abundant number, since it is smaller than the sum of its proper divisors (56055384).

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

30290616 is a wasteful number, since it uses less digits than its factorization.

30290616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 30290616 is about 5503.6911250542. The cubic root of 30290616 is about 311.7233741395.

Adding to 30290616 its reverse (61609203), we get a palindrome (91899819).

The spelling of 30290616 in words is "thirty million, two hundred ninety thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 89 116 163 174 178 232 261 267 326 348 356 489 522 534 652 696 712 801 978 1044 1068 1304 1467 1602 1956 2088 2136 2581 2934 3204 3912 4727 5162 5868 6408 7743 9454 10324 11736 14181 14507 15486 18908 20648 23229 28362 29014 30972 37816 42543 43521 46458 56724 58028 61944 85086 87042 92916 113448 116056 130563 170172 174084 185832 261126 340344 348168 420703 522252 841406 1044504 1262109 1682812 2524218 3365624 3786327 5048436 7572654 10096872 15145308 30290616