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304042752 = 28321310151
BaseRepresentation
bin10010000111110…
…101001100000000
3210012002222020200
4102013311030000
51110313332002
650100405200
710351215006
oct2207651400
9705088220
10304042752
11146695902
12859a6800
134acb4c70
142c546a76
151ba5bb1c
hex121f5300

304042752 has 108 divisors (see below), whose sum is σ = 944156304. Its totient is φ = 93542400.

The previous prime is 304042751. The next prime is 304042763. The reversal of 304042752 is 257240403.

It is not an unprimeable number, because it can be changed into a prime (304042751) 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 11 ways as a sum of consecutive naturals, for example, 24877 + ... + 35027.

It is an arithmetic number, because the mean of its divisors is an integer number (8742188).

Almost surely, 2304042752 is an apocalyptic number.

304042752 is a gapful number since it is divisible by the number (32) 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 304042752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472078152).

304042752 is an abundant number, since it is smaller than the sum of its proper divisors (640113552).

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

304042752 is a wasteful number, since it uses less digits than its factorization.

304042752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10186 (or 10169 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 304042752 is about 17436.8217287440. The cubic root of 304042752 is about 672.4265998763.

The spelling of 304042752 in words is "three hundred four million, forty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 7488 9984 10151 14976 20302 29952 30453 40604 60906 81208 91359 121812 131963 162416 182718 243624 263926 324832 365436 395889 487248 527852 649664 730872 791778 974496 1055704 1187667 1299328 1461744 1583556 1948992 2111408 2375334 2598656 2923488 3167112 3897984 4222816 4750668 5846976 6334224 7795968 8445632 9501336 11693952 12668448 16891264 19002672 23387904 25336896 33782528 38005344 50673792 76010688 101347584 152021376 304042752