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203438928 = 243711192897
BaseRepresentation
bin11000010000000…
…11101101010000
3112011210202202010
430020003231100
5404040021203
632104222520
75020126260
oct1410035520
9464722663
10203438928
11a4921750
125816aa40
13331bc684
141d0397a0
1512cd8303
hexc203b50

203438928 has 160 divisors (see below), whose sum is σ = 689955840. Its totient is φ = 50042880.

The previous prime is 203438897. The next prime is 203438941. The reversal of 203438928 is 829834302.

203438928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 68776 + ... + 71672.

It is an arithmetic number, because the mean of its divisors is an integer number (4312224).

Almost surely, 2203438928 is an apocalyptic number.

203438928 is a gapful number since it is divisible by the number (28) 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 203438928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344977920).

203438928 is an abundant number, since it is smaller than the sum of its proper divisors (486516912).

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

203438928 is a wasteful number, since it uses less digits than its factorization.

203438928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2945 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 203438928 is about 14263.2018845700. The cubic root of 203438928 is about 588.1363467420.

The spelling of 203438928 in words is "two hundred three million, four hundred thirty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 19 21 22 24 28 33 38 42 44 48 56 57 66 76 77 84 88 112 114 132 133 152 154 168 176 209 228 231 264 266 304 308 336 399 418 456 462 528 532 616 627 798 836 912 924 1064 1232 1254 1463 1596 1672 1848 2128 2508 2897 2926 3192 3344 3696 4389 5016 5794 5852 6384 8691 8778 10032 11588 11704 17382 17556 20279 23176 23408 31867 34764 35112 40558 46352 55043 60837 63734 69528 70224 81116 95601 110086 121674 127468 139056 162232 165129 191202 220172 223069 243348 254936 324464 330258 382404 385301 440344 446138 486696 509872 605473 660516 669207 764808 770602 880688 892276 973392 1155903 1210946 1321032 1338414 1529616 1541204 1784552 1816419 2311806 2421892 2642064 2676828 3082408 3569104 3632838 4238311 4623612 4843784 5353656 6164816 7265676 8476622 9247224 9687568 10707312 12714933 14531352 16953244 18494448 25429866 29062704 33906488 50859732 67812976 101719464 203438928