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2343658304 = 26135353149
BaseRepresentation
bin1000101110110001…
…0110001101000000
320001100000011210102
42023230112031000
514244434031204
61024320421532
7112035524021
oct21354261500
96040004712
102343658304
11aa2a30199
12554a778a8
132b471cb80
14183394c48
15dab4741e
hex8bb16340

2343658304 has 56 divisors (see below), whose sum is σ = 5103037800. Its totient is φ = 1061259264.

The previous prime is 2343658297. The next prime is 2343658309. The reversal of 2343658304 is 4038563432.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 311451904 + 2032206400 = 17648^2 + 45080^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2343658309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17522 + ... + 70670.

It is an arithmetic number, because the mean of its divisors is an integer number (91125675).

Almost surely, 22343658304 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 2343658304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551518900).

2343658304 is an abundant number, since it is smaller than the sum of its proper divisors (2759379496).

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

2343658304 is a wasteful number, since it uses less digits than its factorization.

2343658304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53227 (or 53217 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 38.

The square root of 2343658304 is about 48411.3447861139. The cubic root of 2343658304 is about 1328.3058883119.

The spelling of 2343658304 in words is "two billion, three hundred forty-three million, six hundred fifty-eight thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 104 106 208 212 416 424 689 832 848 1378 1696 2756 3392 5512 11024 22048 44096 53149 106298 212596 425192 690937 850384 1381874 1700768 2763748 2816897 3401536 5527496 5633794 11054992 11267588 22109984 22535176 36619661 44219968 45070352 73239322 90140704 146478644 180281408 292957288 585914576 1171829152 2343658304