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30534144 = 293103193
BaseRepresentation
bin111010001111…
…0101000000000
32010110021222020
41310132220000
530304043034
63010241440
7520351554
oct164365000
963407866
1030534144
1116265833
12a286280
136431154
1440ab864
152a32249
hex1d1ea00

30534144 has 80 divisors (see below), whose sum is σ = 82560192. Its totient is φ = 10027008.

The previous prime is 30534137. The next prime is 30534151. The reversal of 30534144 is 44143503.

It is an interprime number because it is at equal distance from previous prime (30534137) and next prime (30534151).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158112 + ... + 158304.

Almost surely, 230534144 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 30534144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41280096).

30534144 is an abundant number, since it is smaller than the sum of its proper divisors (52026048).

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

30534144 is a wasteful number, since it uses less digits than its factorization.

30534144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 30534144 is about 5525.7708964451. The cubic root of 30534144 is about 312.5565346250.

Adding to 30534144 its reverse (44143503), we get a palindrome (74677647).

The spelling of 30534144 in words is "thirty million, five hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 193 206 256 309 384 386 412 512 579 618 768 772 824 1158 1236 1536 1544 1648 2316 2472 3088 3296 4632 4944 6176 6592 9264 9888 12352 13184 18528 19776 19879 24704 26368 37056 39552 39758 49408 52736 59637 74112 79104 79516 98816 119274 148224 158208 159032 238548 296448 318064 477096 636128 954192 1272256 1908384 2544512 3816768 5089024 7633536 10178048 15267072 30534144