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30014334 = 2337271293
BaseRepresentation
bin111001001111…
…1101101111110
32002110212221000
41302133231332
530140424314
62551151130
7513055230
oct162375576
962425830
1030014334
1115a40239
12a0754a6
1362ab67c
143db4250
15297d209
hex1c9fb7e

30014334 has 64 divisors (see below), whose sum is σ = 76769280. Its totient is φ = 8514720.

The previous prime is 30014323. The next prime is 30014359. The reversal of 30014334 is 43341003.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102292 + ... + 102584.

It is an arithmetic number, because the mean of its divisors is an integer number (1199520).

Almost surely, 230014334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30014334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38384640).

30014334 is an abundant number, since it is smaller than the sum of its proper divisors (46754946).

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

30014334 is a wasteful number, since it uses less digits than its factorization.

30014334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 30014334 is about 5478.5339279774. The cubic root of 30014334 is about 310.7727305721.

Adding to 30014334 its reverse (43341003), we get a palindrome (73355337).

The spelling of 30014334 in words is "thirty million, fourteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 271 293 378 542 586 813 879 1626 1758 1897 2051 2439 2637 3794 4102 4878 5274 5691 6153 7317 7911 11382 12306 14634 15822 17073 18459 34146 36918 51219 55377 79403 102438 110754 158806 238209 476418 555821 714627 1111642 1429254 1667463 2143881 3334926 4287762 5002389 10004778 15007167 30014334