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209930304 = 26329371019
BaseRepresentation
bin11001000001101…
…00100001000000
3112122000120020110
430200310201000
5412220232204
632455311320
75126243463
oct1440644100
9478016213
10209930304
11a8555821
125a37b540
133465321c
141dc492da
151366b889
hexc834840

209930304 has 112 divisors (see below), whose sum is σ = 590702400. Its totient is φ = 65673216.

The previous prime is 209930299. The next prime is 209930321. The reversal of 209930304 is 403039902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205507 + ... + 206525.

Almost surely, 2209930304 is an apocalyptic number.

209930304 is a gapful number since it is divisible by the number (24) 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 209930304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295351200).

209930304 is an abundant number, since it is smaller than the sum of its proper divisors (380772096).

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

209930304 is a wasteful number, since it uses less digits than its factorization.

209930304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 209930304 is about 14488.9718061704. The cubic root of 209930304 is about 594.3264312410.

The spelling of 209930304 in words is "two hundred nine million, nine hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 37 48 58 64 74 87 96 111 116 148 174 192 222 232 296 348 444 464 592 696 888 928 1019 1073 1184 1392 1776 1856 2038 2146 2368 2784 3057 3219 3552 4076 4292 5568 6114 6438 7104 8152 8584 12228 12876 16304 17168 24456 25752 29551 32608 34336 37703 48912 51504 59102 65216 68672 75406 88653 97824 103008 113109 118204 150812 177306 195648 206016 226218 236408 301624 354612 452436 472816 603248 709224 904872 945632 1093387 1206496 1418448 1809744 1891264 2186774 2412992 2836896 3280161 3619488 4373548 5673792 6560322 7238976 8747096 13120644 17494192 26241288 34988384 52482576 69976768 104965152 209930304