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30042324 = 223213232791
BaseRepresentation
bin111001010011…
…0100011010100
32002112022022200
41302212203110
530142323244
62551524500
7513232644
oct162464324
962468280
1030042324
1115a5a274
12a089730
1362bb330
143dc0524
152986669
hex1ca68d4

30042324 has 72 divisors (see below), whose sum is σ = 85368192. Its totient is φ = 8838720.

The previous prime is 30042323. The next prime is 30042343. The reversal of 30042324 is 42324003.

30042324 is a `hidden beast` number, since 300 + 42 + 324 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 30042297 and 30042306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30042323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9369 + ... + 12159.

Almost surely, 230042324 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 30042324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42684096).

30042324 is an abundant number, since it is smaller than the sum of its proper divisors (55325868).

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

30042324 is a wasteful number, since it uses less digits than its factorization.

30042324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2837 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 30042324 is about 5481.0878482287. The cubic root of 30042324 is about 310.8693047198.

Adding to 30042324 its reverse (42324003), we get a palindrome (72366327).

It can be divided in two parts, 300 and 42324, that added together give a palindrome (42624).

The spelling of 30042324 in words is "thirty million, forty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 276 299 414 468 598 828 897 1196 1794 2691 2791 3588 5382 5582 8373 10764 11164 16746 25119 33492 36283 50238 64193 72566 100476 108849 128386 145132 192579 217698 256772 326547 385158 435396 577737 653094 770316 834509 1155474 1306188 1669018 2310948 2503527 3338036 5007054 7510581 10014108 15021162 30042324