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203369742 = 232173112137
BaseRepresentation
bin11000001111100…
…10110100001110
3112011200020211200
430013302310032
5404030312432
632102530330
75016420462
oct1407626416
9464606750
10203369742
11a4884774
12581369a6
1333197034
141d01c4a2
1512cc2a7c
hexc1f2d0e

203369742 has 48 divisors (see below), whose sum is σ = 468273312. Its totient is φ = 63567360.

The previous prime is 203369741. The next prime is 203369753. The reversal of 203369742 is 247963302.

It is a happy number.

203369742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2033697422 = 82718503922293128, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 203369697 and 203369706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203369741) 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, 94098 + ... + 96234.

It is an arithmetic number, because the mean of its divisors is an integer number (9755694).

Almost surely, 2203369742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203369742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234136656).

203369742 is an abundant number, since it is smaller than the sum of its proper divisors (264903570).

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

203369742 is a wasteful number, since it uses less digits than its factorization.

203369742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2473 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 203369742 is about 14260.7763463284. The cubic root of 203369742 is about 588.0696675748.

The spelling of 203369742 in words is "two hundred three million, three hundred sixty-nine thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 311 622 933 1866 2137 2799 4274 5287 5598 6411 10574 12822 15861 19233 31722 36329 38466 47583 72658 95166 108987 217974 326961 653922 664607 1329214 1993821 3987642 5981463 11298319 11962926 22596638 33894957 67789914 101684871 203369742