Search a number
-
+
200677344 = 25372371153
BaseRepresentation
bin10111111011000…
…01011111100000
3111222121110120020
423331201133200
5402333133334
631525113440
74654505100
oct1375413740
9458543506
10200677344
11a330594a
1257258880
13327636ba
141c91b200
151293ee49
hexbf617e0

200677344 has 144 divisors (see below), whose sum is σ = 629890128. Its totient is φ = 55738368.

The previous prime is 200677331. The next prime is 200677391. The reversal of 200677344 is 443776002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173472 + ... + 174624.

It is an arithmetic number, because the mean of its divisors is an integer number (4374237).

Almost surely, 2200677344 is an apocalyptic number.

200677344 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 200677344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314945064).

200677344 is an abundant number, since it is smaller than the sum of its proper divisors (429212784).

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

200677344 is a wasteful number, since it uses less digits than its factorization.

200677344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 200677344 is about 14166.0631087116. The cubic root of 200677344 is about 585.4629923740.

The spelling of 200677344 in words is "two hundred million, six hundred seventy-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 49 56 74 84 96 98 111 112 147 148 168 196 222 224 259 294 296 336 392 444 518 588 592 672 777 784 888 1036 1153 1176 1184 1554 1568 1776 1813 2072 2306 2352 3108 3459 3552 3626 4144 4612 4704 5439 6216 6918 7252 8071 8288 9224 10878 12432 13836 14504 16142 18448 21756 24213 24864 27672 29008 32284 36896 42661 43512 48426 55344 56497 58016 64568 85322 87024 96852 110688 112994 127983 129136 169491 170644 174048 193704 225988 255966 258272 298627 338982 341288 387408 451976 511932 597254 677964 682576 774816 895881 903952 1023864 1194508 1355928 1365152 1791762 1807904 2047728 2090389 2389016 2711856 3583524 4095456 4180778 4778032 5423712 6271167 7167048 8361556 9556064 12542334 14334096 16723112 25084668 28668192 33446224 50169336 66892448 100338672 200677344