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203034304 = 26111943353
BaseRepresentation
bin11000001101000…
…00111011000000
3112011001012201001
430012200323000
5403434044204
632051421344
75013522514
oct1406407300
9464035631
10203034304
11a4675750
1257bb4854
13330aa455
141cd72144
1512c584a4
hexc1a0ec0

203034304 has 112 divisors (see below), whose sum is σ = 474756480. Its totient is φ = 85155840.

The previous prime is 203034301. The next prime is 203034311. The reversal of 203034304 is 403430302.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203034301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 574992 + ... + 575344.

Almost surely, 2203034304 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 203034304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237378240).

203034304 is an abundant number, since it is smaller than the sum of its proper divisors (271722176).

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

203034304 is a wasteful number, since it uses less digits than its factorization.

203034304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 203034304 is about 14249.0106323211. The cubic root of 203034304 is about 587.7461689974.

Adding to 203034304 its reverse (403430302), we get a palindrome (606464606).

The spelling of 203034304 in words is "two hundred three million, thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 11 16 19 22 32 38 43 44 64 76 86 88 152 172 176 209 304 344 352 353 418 473 608 688 704 706 817 836 946 1216 1376 1412 1634 1672 1892 2752 2824 3268 3344 3784 3883 5648 6536 6688 6707 7568 7766 8987 11296 13072 13376 13414 15136 15179 15532 17974 22592 26144 26828 30272 30358 31064 35948 52288 53656 60716 62128 71896 73777 107312 121432 124256 143792 147554 166969 214624 242864 248512 287584 288401 295108 333938 429248 485728 575168 576802 590216 667876 971456 1153604 1180432 1335752 2307208 2360864 2671504 3172411 4614416 4721728 5343008 6344822 9228832 10686016 12689644 18457664 25379288 50758576 101517152 203034304