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8349640704 = 2113450333
BaseRepresentation
bin1111100011010110…
…10110100000000000
3210112220022200210000
413301223112200000
5114100002000304
63500305440000
7413624526546
oct76153264000
923486280700
108349640704
1135a5177709
121750340000
13a30b01902
14592cbdd96
1533d062939
hex1f1ad6800

8349640704 has 120 divisors (see below), whose sum is σ = 24940245330. Its totient is φ = 2783158272.

The previous prime is 8349640699. The next prime is 8349640807. The reversal of 8349640704 is 4070469438.

It can be written as a sum of positive squares in only one way, i.e., 6091490304 + 2258150400 = 78048^2 + 47520^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8349640704.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 140722 + ... + 191054.

Almost surely, 28349640704 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 8349640704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12470122665).

8349640704 is an abundant number, since it is smaller than the sum of its proper divisors (16590604626).

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

8349640704 is an equidigital number, since it uses as much as digits as its factorization.

8349640704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50367 (or 50338 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 8349640704 is about 91376.3684110941. The cubic root of 8349640704 is about 2028.7222664575.

The spelling of 8349640704 in words is "eight billion, three hundred forty-nine million, six hundred forty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4608 5184 6144 6912 9216 10368 13824 18432 20736 27648 41472 50333 55296 82944 100666 150999 165888 201332 301998 402664 452997 603996 805328 905994 1207992 1358991 1610656 1811988 2415984 2717982 3221312 3623976 4076973 4831968 5435964 6442624 7247952 8153946 9663936 10871928 12885248 14495904 16307892 19327872 21743856 25770496 28991808 32615784 38655744 43487712 51540992 57983616 65231568 77311488 86975424 103081984 115967232 130463136 154622976 173950848 231934464 260926272 309245952 347901696 463868928 521852544 695803392 927737856 1043705088 1391606784 2087410176 2783213568 4174820352 8349640704