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30138444 = 22327412917
BaseRepresentation
bin111001011111…
…0000001001100
32002201012011200
41302332001030
530203412234
62553545500
7514113120
oct162760114
962635150
1030138444
1116015506
12a115290
136322ccb
144007580
1529a4d99
hex1cbe04c

30138444 has 72 divisors (see below), whose sum is σ = 89220768. Its totient is φ = 8398080.

The previous prime is 30138413. The next prime is 30138469. The reversal of 30138444 is 44483103.

It is a super-2 number, since 2×301384442 = 1816651613482272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8874 + ... + 11790.

Almost surely, 230138444 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 30138444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44610384).

30138444 is an abundant number, since it is smaller than the sum of its proper divisors (59082324).

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

30138444 is a wasteful number, since it uses less digits than its factorization.

30138444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 30138444 is about 5489.8491782562. The cubic root of 30138444 is about 311.2004924402.

The spelling of 30138444 in words is "thirty million, one hundred thirty-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 246 252 287 369 492 574 738 861 1148 1476 1722 2583 2917 3444 5166 5834 8751 10332 11668 17502 20419 26253 35004 40838 52506 61257 81676 105012 119597 122514 183771 239194 245028 358791 367542 478388 717582 735084 837179 1076373 1435164 1674358 2152746 2511537 3348716 4305492 5023074 7534611 10046148 15069222 30138444