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203104314 = 23372591301
BaseRepresentation
bin11000001101100…
…10000000111010
3112011011202202000
430012302000322
5403443314224
632053121430
75014233600
oct1406620072
9464152660
10203104314
11a4713306
1258029276
133310328a
141cd8d870
1512c6e0c9
hexc1b203a

203104314 has 96 divisors (see below), whose sum is σ = 534340800. Its totient is φ = 57002400.

The previous prime is 203104303. The next prime is 203104327. The reversal of 203104314 is 413401302.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155464 + ... + 156764.

It is an arithmetic number, because the mean of its divisors is an integer number (5566050).

Almost surely, 2203104314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203104314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267170400).

203104314 is an abundant number, since it is smaller than the sum of its proper divisors (331236486).

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

203104314 is a wasteful number, since it uses less digits than its factorization.

203104314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 203104314 is about 14251.4670823744. The cubic root of 203104314 is about 587.8137165002.

Adding to 203104314 its reverse (413401302), we get a palindrome (616505616).

The spelling of 203104314 in words is "two hundred three million, one hundred four thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 59 63 98 118 126 147 177 189 294 354 378 413 441 531 826 882 1062 1239 1301 1323 1593 2478 2602 2646 2891 3186 3717 3903 5782 7434 7806 8673 9107 11151 11709 17346 18214 22302 23418 26019 27321 35127 52038 54642 63749 70254 76759 78057 81963 127498 153518 156114 163926 191247 230277 245889 382494 460554 491778 537313 573741 690831 1074626 1147482 1381662 1611939 1721223 2072493 3223878 3442446 3761191 4144986 4835817 7522382 9671634 11283573 14507451 22567146 29014902 33850719 67701438 101552157 203104314