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30319488 = 273331283
BaseRepresentation
bin111001110101…
…0001110000000
32010001101112000
41303222032000
530230210423
63001504000
7515466003
oct163521600
963041460
1030319488
1116129531
12a1a2000
136387534
14405353a
1529dd843
hex1cea380

30319488 has 128 divisors (see below), whose sum is σ = 92697600. Its totient is φ = 9745920.

The previous prime is 30319481. The next prime is 30319537. The reversal of 30319488 is 88491303.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30319481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106995 + ... + 107277.

It is an arithmetic number, because the mean of its divisors is an integer number (724200).

Almost surely, 230319488 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 30319488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46348800).

30319488 is an abundant number, since it is smaller than the sum of its proper divisors (62378112).

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

30319488 is a wasteful number, since it uses less digits than its factorization.

30319488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 30319488 is about 5506.3134672846. The cubic root of 30319488 is about 311.8223841128.

It can be divided in two parts, 303 and 19488, that added together give a palindrome (19791).

The spelling of 30319488 in words is "thirty million, three hundred nineteen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 279 283 288 372 384 432 496 558 566 576 744 837 849 864 992 1116 1132 1152 1488 1674 1698 1728 1984 2232 2264 2547 2976 3348 3396 3456 3968 4464 4528 5094 5952 6696 6792 7641 8773 8928 9056 10188 11904 13392 13584 15282 17546 17856 18112 20376 26319 26784 27168 30564 35092 35712 36224 40752 52638 53568 54336 61128 70184 78957 81504 105276 107136 108672 122256 140368 157914 163008 210552 236871 244512 280736 315828 326016 421104 473742 489024 561472 631656 842208 947484 978048 1122944 1263312 1684416 1894968 2526624 3368832 3789936 5053248 7579872 10106496 15159744 30319488