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8340803968 = 27731329741
BaseRepresentation
bin1111100010010011…
…01001000110000000
3210112021200202001111
413301021221012000
5114040221211333
63455352213104
7413456443510
oct76111510600
923467622044
108340803968
1135a0191522
12174939a194
13a2c029683
14591a5d840
1533c3b94cd
hex1f1269180

8340803968 has 64 divisors (see below), whose sum is σ = 19051535520. Its totient is φ = 3563089920.

The previous prime is 8340803957. The next prime is 8340803971. The reversal of 8340803968 is 8693080438.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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, 265578 + ... + 295318.

Almost surely, 28340803968 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 8340803968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9525767760).

8340803968 is an abundant number, since it is smaller than the sum of its proper divisors (10710731552).

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

8340803968 is a wasteful number, since it uses less digits than its factorization.

8340803968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30075 (or 30063 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

The square root of 8340803968 is about 91328.0021023125. The cubic root of 8340803968 is about 2028.0063230289.

The spelling of 8340803968 in words is "eight billion, three hundred forty million, eight hundred three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 313 448 626 896 1252 2191 2504 4382 5008 8764 10016 17528 20032 29741 35056 40064 59482 70112 118964 140224 208187 237928 280448 416374 475856 832748 951712 1665496 1903424 3330992 3806848 6661984 9308933 13323968 18617866 26647936 37235732 65162531 74471464 130325062 148942928 260650124 297885856 521300248 595771712 1042600496 1191543424 2085200992 4170401984 8340803968