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2323953408 = 28372691607
BaseRepresentation
bin1000101010000100…
…1011011100000000
312222221221001202110
42022201023130000
514224413002113
61022334215320
7111406164240
oct21241133400
95887831673
102323953408
11a928a1657
1254a354540
132b0610b7a
14180905b20
15d9053bc3
hex8a84b700

2323953408 has 144 divisors (see below), whose sum is σ = 7099384320. Its totient is φ = 661106688.

The previous prime is 2323953391. The next prime is 2323953421. The reversal of 2323953408 is 8043593232.

It is a super-3 number, since 3×23239534083 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1445341 + ... + 1446947.

It is an arithmetic number, because the mean of its divisors is an integer number (49301280).

Almost surely, 22323953408 is an apocalyptic number.

2323953408 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 2323953408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3549692160).

2323953408 is an abundant number, since it is smaller than the sum of its proper divisors (4775430912).

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

2323953408 is a wasteful number, since it uses less digits than its factorization.

2323953408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 2323953408 is about 48207.3999298863. The cubic root of 2323953408 is about 1324.5727176668.

The spelling of 2323953408 in words is "two billion, three hundred twenty-three million, nine hundred fifty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 269 336 384 448 538 672 768 807 896 1076 1344 1607 1614 1792 1883 2152 2688 3214 3228 3766 4304 4821 5376 5649 6428 6456 7532 8608 9642 11249 11298 12856 12912 15064 17216 19284 22498 22596 25712 25824 30128 33747 34432 38568 44996 45192 51424 51648 60256 67494 68864 77136 89992 90384 102848 103296 120512 134988 154272 179984 180768 205696 206592 241024 269976 308544 359968 361536 411392 432283 482048 539952 617088 719936 723072 864566 1079904 1234176 1296849 1439872 1446144 1729132 2159808 2593698 2879744 3025981 3458264 4319616 5187396 6051962 6916528 8639232 9077943 10374792 12103924 13833056 18155886 20749584 24207848 27666112 36311772 41499168 48415696 55332224 72623544 82998336 96831392 110664448 145247088 165996672 193662784 290494176 331993344 387325568 580988352 774651136 1161976704 2323953408