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30314200 = 2352759367
BaseRepresentation
bin111001110100…
…0111011011000
32010001010021011
41303220323120
530230023300
63001423304
7515444410
oct163507330
963033234
1030314200
1116125564
12a19ab34
136384cc7
144051640
1529dbeba
hex1ce8ed8

30314200 has 96 divisors (see below), whose sum is σ = 82137600. Its totient is φ = 10189440.

The previous prime is 30314197. The next prime is 30314203. The reversal of 30314200 is 241303.

It is an interprime number because it is at equal distance from previous prime (30314197) and next prime (30314203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30314203) 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, 82417 + ... + 82783.

It is an arithmetic number, because the mean of its divisors is an integer number (855600).

Almost surely, 230314200 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 30314200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41068800).

30314200 is an abundant number, since it is smaller than the sum of its proper divisors (51823400).

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

30314200 is a wasteful number, since it uses less digits than its factorization.

30314200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 30314200 is about 5505.8332702689. The cubic root of 30314200 is about 311.8042548199.

Adding to 30314200 its reverse (241303), we get a palindrome (30555503).

The spelling of 30314200 in words is "thirty million, three hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 59 70 100 118 140 175 200 236 280 295 350 367 413 472 590 700 734 826 1180 1400 1468 1475 1652 1835 2065 2360 2569 2936 2950 3304 3670 4130 5138 5900 7340 8260 9175 10276 10325 11800 12845 14680 16520 18350 20552 20650 21653 25690 36700 41300 43306 51380 64225 73400 82600 86612 102760 108265 128450 151571 173224 216530 256900 303142 433060 513800 541325 606284 757855 866120 1082650 1212568 1515710 2165300 3031420 3789275 4330600 6062840 7578550 15157100 30314200