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213628734 = 232115918287
BaseRepresentation
bin11001011101110…
…11011100111110
3112212222110112100
430232323130332
5414142104414
633110445530
75202546204
oct1456733476
9485873470
10213628734
11aa651480
125b6638a6
1335349747
142052d074
1513b4c609
hexcbbb73e

213628734 has 48 divisors (see below), whose sum is σ = 513527040. Its totient is φ = 63635280.

The previous prime is 213628729. The next prime is 213628741. The reversal of 213628734 is 437826312.

It is a happy number.

213628734 is a `hidden beast` number, since 21 + 3 + 628 + 7 + 3 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2539 + ... + 20825.

It is an arithmetic number, because the mean of its divisors is an integer number (10698480).

Almost surely, 2213628734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213628734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256763520).

213628734 is an abundant number, since it is smaller than the sum of its proper divisors (299898306).

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

213628734 is a wasteful number, since it uses less digits than its factorization.

213628734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18365 (or 18362 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 213628734 is about 14616.0437191464. The cubic root of 213628734 is about 597.7962994153.

The spelling of 213628734 in words is "two hundred thirteen million, six hundred twenty-eight thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 59 66 99 118 177 198 354 531 649 1062 1298 1947 3894 5841 11682 18287 36574 54861 109722 164583 201157 329166 402314 603471 1078933 1206942 1810413 2157866 3236799 3620826 6473598 9710397 11868263 19420794 23736526 35604789 71209578 106814367 213628734