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734385768 = 233233741877
BaseRepresentation
bin101011110001011…
…101011001101000
31220011212122212220
4223301131121220
53001000321033
6200512234040
724125114244
oct5361353150
91804778786
10734385768
113475a5996
12185b3b920
13b91bb6bc
146d769424
1544715bb3
hex2bc5d668

734385768 has 128 divisors (see below), whose sum is σ = 2017854720. Its totient is φ = 222013440.

The previous prime is 734385733. The next prime is 734385797. The reversal of 734385768 is 867583437.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 734385768.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 836946 + ... + 837822.

It is an arithmetic number, because the mean of its divisors is an integer number (15764490).

Almost surely, 2734385768 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 734385768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008927360).

734385768 is an abundant number, since it is smaller than the sum of its proper divisors (1283468952).

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

734385768 is a wasteful number, since it uses less digits than its factorization.

734385768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 983 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 51.

The square root of 734385768 is about 27099.5529114412. The cubic root of 734385768 is about 902.2109296403.

The spelling of 734385768 in words is "seven hundred thirty-four million, three hundred eighty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 37 41 46 69 74 82 92 111 123 138 148 164 184 222 246 276 296 328 444 492 552 851 877 888 943 984 1517 1702 1754 1886 2553 2631 2829 3034 3404 3508 3772 4551 5106 5262 5658 6068 6808 7016 7544 9102 10212 10524 11316 12136 18204 20171 20424 21048 22632 32449 34891 35957 36408 40342 60513 64898 69782 71914 80684 97347 104673 107871 121026 129796 139564 143828 161368 194694 209346 215742 242052 259592 279128 287656 389388 418692 431484 484104 746327 778776 827011 837384 862968 1330409 1492654 1654022 2238981 2481033 2660818 2985308 3308044 3991227 4477962 4962066 5321636 5970616 6616088 7982454 8955924 9924132 10643272 15964908 17911848 19848264 30599407 31929816 61198814 91798221 122397628 183596442 244795256 367192884 734385768