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234028608 = 26311293821
BaseRepresentation
bin11011111001011…
…11111001000000
3121022100212220020
431330233321000
5434402403413
635120013440
75541132102
oct1574577100
9538325806
10234028608
11110115180
1266461280
133963cb88
142311d572
151582bc23
hexdf2fe40

234028608 has 112 divisors (see below), whose sum is σ = 698967360. Its totient is φ = 68454400.

The previous prime is 234028603. The next prime is 234028609. The reversal of 234028608 is 806820432.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (234028603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59338 + ... + 63158.

It is an arithmetic number, because the mean of its divisors is an integer number (6240780).

Almost surely, 2234028608 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 234028608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349483680).

234028608 is an abundant number, since it is smaller than the sum of its proper divisors (464938752).

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

234028608 is a wasteful number, since it uses less digits than its factorization.

234028608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3876 (or 3866 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 234028608 is about 15297.9935939325. The cubic root of 234028608 is about 616.2491261969.

The spelling of 234028608 in words is "two hundred thirty-four million, twenty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 64 66 87 88 96 116 132 174 176 192 232 264 319 348 352 464 528 638 696 704 928 957 1056 1276 1392 1856 1914 2112 2552 2784 3821 3828 5104 5568 7642 7656 10208 11463 15284 15312 20416 22926 30568 30624 42031 45852 61136 61248 84062 91704 110809 122272 126093 168124 183408 221618 244544 252186 332427 336248 366816 443236 504372 664854 672496 733632 886472 1008744 1218899 1329708 1344992 1772944 2017488 2437798 2659416 2689984 3545888 3656697 4034976 4875596 5318832 7091776 7313394 8069952 9751192 10637664 14626788 19502384 21275328 29253576 39004768 58507152 78009536 117014304 234028608