Search a number
-
+
3035342304 = 2532292271601
BaseRepresentation
bin1011010011101011…
…1010010111100000
321211112112100212100
42310322322113200
522204021423204
61221105530400
7135134661321
oct26472722740
97745470770
103035342304
11131840a665
12708643a00
13394b0a047
1420b1a6448
1512b725a39
hexb4eba5e0

3035342304 has 144 divisors (see below), whose sum is σ = 8974339920. Its totient is φ = 971980800.

The previous prime is 3035342279. The next prime is 3035342309. The reversal of 3035342304 is 4032435303.

It is a happy number.

3035342304 is a `hidden beast` number, since 3 + 0 + 353 + 4 + 2 + 304 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3035342309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1895104 + ... + 1896704.

It is an arithmetic number, because the mean of its divisors is an integer number (62321805).

Almost surely, 23035342304 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 3035342304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4487169960).

3035342304 is an abundant number, since it is smaller than the sum of its proper divisors (5938997616).

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

3035342304 is a wasteful number, since it uses less digits than its factorization.

3035342304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 27.

The square root of 3035342304 is about 55093.9407194657. The cubic root of 3035342304 is about 1447.8910767349.

Adding to 3035342304 its reverse (4032435303), we get a palindrome (7067777607).

The spelling of 3035342304 in words is "three billion, thirty-five million, three hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 227 232 261 288 348 454 464 522 681 696 908 928 1044 1362 1392 1601 1816 2043 2088 2724 2784 3202 3632 4086 4176 4803 5448 6404 6583 7264 8172 8352 9606 10896 12808 13166 14409 16344 19212 19749 21792 25616 26332 28818 32688 38424 39498 46429 51232 52664 57636 59247 65376 76848 78996 92858 105328 115272 118494 139287 153696 157992 185716 210656 230544 236988 278574 315984 363427 371432 417861 461088 473976 557148 631968 726854 742864 835722 947952 1090281 1114296 1453708 1485728 1671444 1895904 2180562 2228592 2907416 3270843 3342888 4361124 4457184 5814832 6541686 6685776 8722248 10539383 11629664 13083372 13371552 17444496 21078766 26166744 31618149 34888992 42157532 52333488 63236298 84315064 94854447 104666976 126472596 168630128 189708894 252945192 337260256 379417788 505890384 758835576 1011780768 1517671152 3035342304