Search a number
-
+
234016992 = 25331124623
BaseRepresentation
bin11011111001011…
…01000011100000
3121022100021222000
431330231003200
5434402020432
635115444000
75541053166
oct1574550340
9538307860
10234016992
11110107480
1266456600
13396377c1
1423119236
151582857c
hexdf2d0e0

234016992 has 96 divisors (see below), whose sum is σ = 744629760. Its totient is φ = 70911360.

The previous prime is 234016987. The next prime is 234017009. The reversal of 234016992 is 299610432.

234016992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×2340169923 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2808 + ... + 21815.

It is an arithmetic number, because the mean of its divisors is an integer number (7756560).

Almost surely, 2234016992 is an apocalyptic number.

234016992 is a gapful number since it is divisible by the number (22) 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 234016992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372314880).

234016992 is an abundant number, since it is smaller than the sum of its proper divisors (510612768).

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

234016992 is a wasteful number, since it uses less digits than its factorization.

234016992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24653 (or 24639 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 234016992 is about 15297.6139315908. The cubic root of 234016992 is about 616.2389301952.

The spelling of 234016992 in words is "two hundred thirty-four million, sixteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 24623 49246 73869 98492 147738 196984 221607 270853 295476 393968 443214 541706 590952 664821 787936 812559 886428 1083412 1181904 1329642 1625118 1772856 2166824 2363808 2437677 2659284 3250236 3545712 4333648 4875354 5318568 6500472 7091424 7313031 8667296 9750708 10637136 13000944 14626062 19501416 21274272 26001888 29252124 39002832 58504248 78005664 117008496 234016992