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203368400 = 24521926759
BaseRepresentation
bin11000001111100…
…10011111010000
3112011200011222222
430013302133100
5404030242100
632102520212
75016413534
oct1407623720
9464604888
10203368400
11a4883764
1258136068
1333196541
141d01bbc4
1512cc2485
hexc1f27d0

203368400 has 60 divisors (see below), whose sum is σ = 514327200. Its totient is φ = 77063040.

The previous prime is 203368393. The next prime is 203368423. The reversal of 203368400 is 4863302.

203368400 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 2×2033684002 = 82717412237120000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 203368400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5780 + ... + 20979.

It is an arithmetic number, because the mean of its divisors is an integer number (8572120).

Almost surely, 2203368400 is an apocalyptic number.

203368400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203368400 is an abundant number, since it is smaller than the sum of its proper divisors (310958800).

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

203368400 is a wasteful number, since it uses less digits than its factorization.

203368400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26796 (or 26785 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 203368400 is about 14260.7292941140. The cubic root of 203368400 is about 588.0683740503.

The spelling of 203368400 in words is "two hundred three million, three hundred sixty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 760 950 1520 1900 3800 7600 26759 53518 107036 133795 214072 267590 428144 508421 535180 668975 1016842 1070360 1337950 2033684 2140720 2542105 2675900 4067368 5084210 5351800 8134736 10168420 10703600 12710525 20336840 25421050 40673680 50842100 101684200 203368400