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342930528 = 25321789787
BaseRepresentation
bin10100011100001…
…011010001100000
3212220021200020200
4110130023101200
51200242234103
654010105200
711332601313
oct2434132140
9786250220
10342930528
11166636866
1296a1b200
135607c495
143378a97a
152018e0a3
hex1470b460

342930528 has 144 divisors (see below), whose sum is σ = 1045502640. Its totient is φ = 106242048.

The previous prime is 342930521. The next prime is 342930551. The reversal of 342930528 is 825039243.

342930528 is a `hidden beast` number, since 3 + 42 + 93 + 0 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 342930492 and 342930501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342930521) 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 23 ways as a sum of consecutive naturals, for example, 435351 + ... + 436137.

It is an arithmetic number, because the mean of its divisors is an integer number (7260435).

Almost surely, 2342930528 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 342930528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522751320).

342930528 is an abundant number, since it is smaller than the sum of its proper divisors (702572112).

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

342930528 is a wasteful number, since it uses less digits than its factorization.

342930528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 342930528 is about 18518.3835147672. The cubic root of 342930528 is about 699.9527369450.

The spelling of 342930528 in words is "three hundred forty-two million, nine hundred thirty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 89 96 102 136 144 153 178 204 267 272 288 306 356 408 534 544 612 712 787 801 816 1068 1224 1424 1513 1574 1602 1632 2136 2361 2448 2848 3026 3148 3204 4272 4539 4722 4896 6052 6296 6408 7083 8544 9078 9444 12104 12592 12816 13379 13617 14166 18156 18888 24208 25184 25632 26758 27234 28332 36312 37776 40137 48416 53516 54468 56664 70043 72624 75552 80274 107032 108936 113328 120411 140086 145248 160548 210129 214064 217872 226656 240822 280172 321096 420258 428128 435744 481644 560344 630387 642192 840516 963288 1120688 1190731 1260774 1284384 1681032 1926576 2241376 2381462 2521548 3362064 3572193 3853152 4762924 5043096 6724128 7144386 9525848 10086192 10716579 14288772 19051696 20172384 21433158 28577544 38103392 42866316 57155088 85732632 114310176 171465264 342930528