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4020302304 = 253267892341
BaseRepresentation
bin1110111110100000…
…1111000111100000
3101101011220111222100
43233220033013200
531213144133204
61502533010400
7201425001654
oct35750170740
911334814870
104020302304
1117833a0697
12942483a00
134c0bac605
142a1d1aa64
15187e35a39
hexefa0f1e0

4020302304 has 144 divisors (see below), whose sum is σ = 11738759760. Its totient is φ = 1304709120.

The previous prime is 4020302267. The next prime is 4020302317. The reversal of 4020302304 is 4032030204.

4020302304 is a `hidden beast` number, since 40 + 20 + 302 + 304 = 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 (18).

It is a congruent number.

It is an unprimeable number.

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, 1716174 + ... + 1718514.

It is an arithmetic number, because the mean of its divisors is an integer number (81519165).

Almost surely, 24020302304 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 4020302304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5869379880).

4020302304 is an abundant number, since it is smaller than the sum of its proper divisors (7718457456).

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

4020302304 is a wasteful number, since it uses less digits than its factorization.

4020302304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 4020302304 is about 63405.8538622421. The cubic root of 4020302304 is about 1590.0821792104.

Adding to 4020302304 its reverse (4032030204), we get a palindrome (8052332508).

The spelling of 4020302304 in words is "four billion, twenty million, three hundred two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 89 96 134 144 178 201 267 268 288 356 402 534 536 603 712 801 804 1068 1072 1206 1424 1602 1608 2136 2144 2341 2412 2848 3204 3216 4272 4682 4824 5963 6408 6432 7023 8544 9364 9648 11926 12816 14046 17889 18728 19296 21069 23852 25632 28092 35778 37456 42138 47704 53667 56184 71556 74912 84276 95408 107334 112368 143112 156847 168552 190816 208349 214668 224736 286224 313694 337104 416698 429336 470541 572448 625047 627388 674208 833396 858672 941082 1250094 1254776 1411623 1666792 1717344 1875141 1882164 2500188 2509552 2823246 3333584 3750282 3764328 5000376 5019104 5646492 6667168 7500564 7528656 10000752 11292984 13959383 15001128 15057312 20001504 22585968 27918766 30002256 41878149 45171936 55837532 60004512 83756298 111675064 125634447 167512596 223350128 251268894 335025192 446700256 502537788 670050384 1005075576 1340100768 2010151152 4020302304