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2344302688 = 257213196053
BaseRepresentation
bin1000101110111011…
…0011100001100000
320001101012220201111
42023232303201200
514300120141223
61024342313104
7112044146500
oct21356634140
96041186644
102344302688
11aa3330342
12555128794
132b48b7270
141834c1a00
15dac2330d
hex8bbb3860

2344302688 has 144 divisors (see below), whose sum is σ = 6087175920. Its totient is φ = 878459904.

The previous prime is 2344302683. The next prime is 2344302733. The reversal of 2344302688 is 8862034432.

It is a self number, because there is not a number n which added to its sum of digits gives 2344302688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2344302683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 384270 + ... + 390322.

It is an arithmetic number, because the mean of its divisors is an integer number (42272055).

Almost surely, 22344302688 is an apocalyptic number.

2344302688 is a gapful number since it is divisible by the number (28) 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 2344302688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3043587960).

2344302688 is an abundant number, since it is smaller than the sum of its proper divisors (3742873232).

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

2344302688 is a wasteful number, since it uses less digits than its factorization.

2344302688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6109 (or 6094 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The square root of 2344302688 is about 48417.9996282374. Note that the first 3 decimals coincide. The cubic root of 2344302688 is about 1328.4276154746.

The spelling of 2344302688 in words is "two billion, three hundred forty-four million, three hundred two thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 49 52 56 76 91 98 104 112 133 152 182 196 208 224 247 266 304 364 392 416 494 532 608 637 728 784 931 988 1064 1274 1456 1568 1729 1862 1976 2128 2548 2912 3458 3724 3952 4256 5096 6053 6916 7448 7904 10192 12103 12106 13832 14896 20384 24206 24212 27664 29792 42371 48412 48424 55328 78689 84742 96824 96848 115007 157378 169484 193648 193696 230014 296597 314756 338968 387296 460028 550823 593194 629512 677936 805049 920056 1101646 1186388 1259024 1355872 1495091 1610098 1840112 2203292 2372776 2518048 2990182 3220196 3680224 3855761 4406584 4745552 5635343 5980364 6440392 7711522 8813168 9491104 10465637 11270686 11960728 12880784 15423044 17626336 20931274 22541372 23921456 25761568 30846088 41862548 45082744 47842912 61692176 73259459 83725096 90165488 123384352 146518918 167450192 180330976 293037836 334900384 586075672 1172151344 2344302688