Search a number
-
+
30104144 = 2471797163
BaseRepresentation
bin111001011010…
…1101001010000
32002122110010022
41302311221100
530201313034
62553123012
7513611120
oct162655120
962573108
1030104144
1115aa1764
12a0b9468
136310505
143dd8c80
152999b2e
hex1cb5a50

30104144 has 80 divisors (see below), whose sum is σ = 71745408. Its totient is φ = 11943936.

The previous prime is 30104143. The next prime is 30104149. The reversal of 30104144 is 44140103.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30104141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184607 + ... + 184769.

Almost surely, 230104144 is an apocalyptic number.

30104144 is a gapful number since it is divisible by the number (34) 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 30104144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35872704).

30104144 is an abundant number, since it is smaller than the sum of its proper divisors (41641264).

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

30104144 is a wasteful number, since it uses less digits than its factorization.

30104144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 30104144 is about 5486.7243415357. The cubic root of 30104144 is about 311.0823904704.

Adding to 30104144 its reverse (44140103), we get a palindrome (74244247).

The spelling of 30104144 in words is "thirty million, one hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 97 112 119 136 163 194 238 272 326 388 476 652 679 776 952 1141 1304 1358 1552 1649 1904 2282 2608 2716 2771 3298 4564 5432 5542 6596 9128 10864 11084 11543 13192 15811 18256 19397 22168 23086 26384 31622 38794 44336 46172 63244 77588 92344 110677 126488 155176 184688 221354 252976 268787 310352 442708 537574 885416 1075148 1770832 1881509 2150296 3763018 4300592 7526036 15052072 30104144