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203134464 = 2932133391
BaseRepresentation
bin11000001101110…
…01011000000000
3112011020022002200
430012321120000
5404000300324
632053513200
75014420521
oct1406713000
9464208080
10203134464
11a4733a25
1258042800
1333113c10
141cd9a848
1512c77ec9
hexc1b9600

203134464 has 120 divisors (see below), whose sum is σ = 631542912. Its totient is φ = 62484480.

The previous prime is 203134457. The next prime is 203134469. The reversal of 203134464 is 464431302.

203134464 is a `hidden beast` number, since 203 + 13 + 446 + 4 = 666.

It is a super-2 number, since 2×2031344642 = 82527220929134592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203134469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58209 + ... + 61599.

Almost surely, 2203134464 is an apocalyptic number.

203134464 is a gapful number since it is divisible by the number (24) 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 203134464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315771456).

203134464 is an abundant number, since it is smaller than the sum of its proper divisors (428408448).

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

203134464 is a wasteful number, since it uses less digits than its factorization.

203134464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3428 (or 3409 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 203134464 is about 14252.5248289557. The cubic root of 203134464 is about 587.8428012372.

Adding to 203134464 its reverse (464431302), we get a palindrome (667565766).

The spelling of 203134464 in words is "two hundred three million, one hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1152 1248 1536 1664 1872 2304 2496 3328 3391 3744 4608 4992 6656 6782 7488 9984 10173 13564 14976 19968 20346 27128 29952 30519 40692 44083 54256 59904 61038 81384 88166 108512 122076 132249 162768 176332 217024 244152 264498 325536 352664 396747 434048 488304 528996 651072 705328 793494 868096 976608 1057992 1302144 1410656 1586988 1736192 1953216 2115984 2604288 2821312 3173976 3906432 4231968 5208576 5642624 6347952 7812864 8463936 11285248 12695904 15625728 16927872 22570496 25391808 33855744 50783616 67711488 101567232 203134464