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2304314352 = 243310351787
BaseRepresentation
bin1000100101011001…
…0000101111110000
312221120222022001000
42021112100233300
514204401024402
61020353242000
7111050230434
oct21126205760
95846868030
102304314352
11a827a852a
12543863300
132a9525b22
1417c0729c4
15d7474c1c
hex89590bf0

2304314352 has 80 divisors (see below), whose sum is σ = 6678580480. Its totient is φ = 760632768.

The previous prime is 2304314329. The next prime is 2304314359. The reversal of 2304314352 is 2534134032.

2304314352 is a `hidden beast` number, since 2 + 304 + 3 + 1 + 4 + 352 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2304314359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18603 + ... + 70389.

It is an arithmetic number, because the mean of its divisors is an integer number (83482256).

Almost surely, 22304314352 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 2304314352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3339290240).

2304314352 is an abundant number, since it is smaller than the sum of its proper divisors (4374266128).

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

2304314352 is a wasteful number, since it uses less digits than its factorization.

2304314352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51907 (or 51895 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2304314352 is about 48003.2743883165. The cubic root of 2304314352 is about 1320.8309643861.

Adding to 2304314352 its reverse (2534134032), we get a palindrome (4838448384).

The spelling of 2304314352 in words is "two billion, three hundred four million, three hundred fourteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 103 108 144 206 216 309 412 432 618 824 927 1236 1648 1854 2472 2781 3708 4944 5562 7416 11124 14832 22248 44496 51787 103574 155361 207148 310722 414296 466083 621444 828592 932166 1242888 1398249 1864332 2485776 2796498 3728664 5334061 5592996 7457328 10668122 11185992 16002183 21336244 22371984 32004366 42672488 48006549 64008732 85344976 96013098 128017464 144019647 192026196 256034928 288039294 384052392 576078588 768104784 1152157176 2304314352