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234897344 = 26112389163
BaseRepresentation
bin11100000000000…
…11111111000000
3121101000000120122
432000003333000
5440113203334
635150355412
75551410623
oct1600037700
9541000518
10234897344
11110658940
12667bbb68
1339885416
14232a7dba
151594e32e
hexe003fc0

234897344 has 112 divisors (see below), whose sum is σ = 539861760. Its totient is φ = 100362240.

The previous prime is 234897343. The next prime is 234897353. The reversal of 234897344 is 443798432.

It is a Harshad number since it is a multiple of its sum of digits (44).

Its product of digits (580608) is a multiple of the sum of its prime divisors (288).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 234897295 and 234897304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234897343) 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, 1441007 + ... + 1441169.

Almost surely, 2234897344 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 234897344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269930880).

234897344 is an abundant number, since it is smaller than the sum of its proper divisors (304964416).

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

234897344 is a wasteful number, since it uses less digits than its factorization.

234897344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 288 counting only the distinct ones).

The product of its digits is 580608, while the sum is 44.

The square root of 234897344 is about 15326.3610814831. The cubic root of 234897344 is about 617.0107093434.

The spelling of 234897344 in words is "two hundred thirty-four million, eight hundred ninety-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 89 92 163 176 178 184 253 326 352 356 368 506 652 704 712 736 979 1012 1304 1424 1472 1793 1958 2024 2047 2608 2848 3586 3749 3916 4048 4094 5216 5696 7172 7498 7832 8096 8188 10432 14344 14507 14996 15664 16192 16376 22517 28688 29014 29992 31328 32752 41239 45034 57376 58028 59984 62656 65504 82478 90068 114752 116056 119968 131008 159577 164956 180136 232112 239936 319154 329912 333661 360272 464224 638308 659824 667322 720544 928448 1276616 1319648 1334644 1441088 2553232 2639296 2669288 3670271 5106464 5338576 7340542 10212928 10677152 14681084 21354304 29362168 58724336 117448672 234897344