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234988728 = 233134211789
BaseRepresentation
bin11100000000110…
…10010010111000
3121101011122221020
432000122102320
5440124114403
635152342440
75552241222
oct1600322270
9541148836
10234988728
11110710567
1266844a20
13398b7bb0
14232cd412
151596b453
hexe01a4b8

234988728 has 64 divisors (see below), whose sum is σ = 634519200. Its totient is φ = 72092160.

The previous prime is 234988693. The next prime is 234988729. The reversal of 234988728 is 827889432.

It is a super-3 number, since 3×2349887283 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234988729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130458 + ... + 132246.

Almost surely, 2234988728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234988728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317259600).

234988728 is an abundant number, since it is smaller than the sum of its proper divisors (399530472).

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

234988728 is a wasteful number, since it uses less digits than its factorization.

234988728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232 (or 2228 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 51.

The square root of 234988728 is about 15329.3420602451. The cubic root of 234988728 is about 617.0907125132.

The spelling of 234988728 in words is "two hundred thirty-four million, nine hundred eighty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 421 842 1263 1684 1789 2526 3368 3578 5052 5367 5473 7156 10104 10734 10946 14312 16419 21468 21892 23257 32838 42936 43784 46514 65676 69771 93028 131352 139542 186056 279084 558168 753169 1506338 2259507 3012676 4519014 6025352 9038028 9791197 18076056 19582394 29373591 39164788 58747182 78329576 117494364 234988728