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30431016 = 23327112499
BaseRepresentation
bin111010000010…
…1011100101000
32010021001111200
41310011130220
530242243031
63004124200
7516442110
oct164053450
963231450
1030431016
11161a5300
12a236660
1363c6225
144082040
152a118e6
hex1d05728

30431016 has 144 divisors (see below), whose sum is σ = 103740000. Its totient is φ = 7888320.

The previous prime is 30430973. The next prime is 30431021. The reversal of 30431016 is 61013403.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 30431016.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 60735 + ... + 61233.

Almost surely, 230431016 is an apocalyptic number.

30431016 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 30431016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51870000).

30431016 is an abundant number, since it is smaller than the sum of its proper divisors (73308984).

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

30431016 is a wasteful number, since it uses less digits than its factorization.

30431016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 30431016 is about 5516.4314552073. The cubic root of 30431016 is about 312.2042548129.

Adding to 30431016 its reverse (61013403), we get a palindrome (91444419).

The spelling of 30431016 in words is "thirty million, four hundred thirty-one thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 121 126 132 154 168 198 231 242 252 264 308 363 396 462 484 499 504 616 693 726 792 847 924 968 998 1089 1386 1452 1497 1694 1848 1996 2178 2541 2772 2904 2994 3388 3493 3992 4356 4491 5082 5489 5544 5988 6776 6986 7623 8712 8982 10164 10479 10978 11976 13972 15246 16467 17964 20328 20958 21956 27944 30492 31437 32934 35928 38423 41916 43912 49401 60379 60984 62874 65868 76846 83832 98802 115269 120758 125748 131736 153692 181137 197604 230538 241516 251496 307384 345807 362274 395208 422653 461076 483032 543411 691614 724548 845306 922152 1086822 1267959 1383228 1449096 1690612 2173644 2535918 2766456 3381224 3803877 4347288 5071836 7607754 10143672 15215508 30431016