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7423130304 = 26344333307
BaseRepresentation
bin1101110100111001…
…11111101011000000
3201011022221002110000
412322130333223000
5110200310132204
63224331240000
7351644365212
oct67234775300
921138832400
107423130304
11316a188737
121531ba9000
13913b856c5
14505c225b2
152d6a4b039
hex1ba73fac0

7423130304 has 140 divisors (see below), whose sum is σ = 22061971624. Its totient is φ = 2467915776.

The previous prime is 7423130303. The next prime is 7423130329. The reversal of 7423130304 is 4030313247.

7423130304 is a `hidden beast` number, since 7 + 42 + 313 + 0 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (7423130303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2243019 + ... + 2246325.

Almost surely, 27423130304 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 7423130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11030985812).

7423130304 is an abundant number, since it is smaller than the sum of its proper divisors (14638841320).

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

7423130304 is a wasteful number, since it uses less digits than its factorization.

7423130304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3764 (or 3745 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 7423130304 is about 86157.5899384378. The cubic root of 7423130304 is about 1950.7234049731.

The spelling of 7423130304 in words is "seven billion, four hundred twenty-three million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 433 576 648 864 866 1296 1299 1728 1732 2592 2598 3307 3464 3897 5184 5196 6614 6928 7794 9921 10392 11691 13228 13856 15588 19842 20784 23382 26456 27712 29763 31176 35073 39684 41568 46764 52912 59526 62352 70146 79368 83136 89289 93528 105824 119052 124704 140292 158736 178578 187056 211648 238104 249408 267867 280584 317472 357156 374112 476208 535734 561168 634944 714312 748224 952416 1071468 1122336 1428624 1431931 1904832 2142936 2244672 2857248 2863862 4285872 4295793 5714496 5727724 8571744 8591586 11455448 12887379 17143488 17183172 22910896 25774758 34366344 38662137 45821792 51549516 68732688 77324274 91643584 103099032 115986411 137465376 154648548 206198064 231972822 274930752 309297096 412396128 463945644 618594192 824792256 927891288 1237188384 1855782576 2474376768 3711565152 7423130304