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304764640 = 25510318493
BaseRepresentation
bin10010001010100…
…101011011100000
3210020110122111021
4102022211123200
51111004432030
650124055224
710360312435
oct2212453340
9706418437
10304764640
11147039204
1286094514
134b1a870b
142c693b8c
151bb5097a
hex122a56e0

304764640 has 48 divisors (see below), whose sum is σ = 727036128. Its totient is φ = 120715776.

The previous prime is 304764637. The next prime is 304764643. The reversal of 304764640 is 46467403.

It is an interprime number because it is at equal distance from previous prime (304764637) and next prime (304764643).

It is a junction number, because it is equal to n+sod(n) for n = 304764596 and 304764605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304764643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7234 + ... + 25726.

It is an arithmetic number, because the mean of its divisors is an integer number (15146586).

Almost surely, 2304764640 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 304764640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363518064).

304764640 is an abundant number, since it is smaller than the sum of its proper divisors (422271488).

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

304764640 is a wasteful number, since it uses less digits than its factorization.

304764640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18611 (or 18603 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The square root of 304764640 is about 17457.5095589262. The cubic root of 304764640 is about 672.9583595510.

The spelling of 304764640 in words is "three hundred four million, seven hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 103 160 206 412 515 824 1030 1648 2060 3296 4120 8240 16480 18493 36986 73972 92465 147944 184930 295888 369860 591776 739720 1479440 1904779 2958880 3809558 7619116 9523895 15238232 19047790 30476464 38095580 60952928 76191160 152382320 304764640