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729698274 = 233313491249
BaseRepresentation
bin101011011111100…
…100111111100010
31212212001111212000
4223133210333202
52443300321044
6200223544430
724040222134
oct5337447742
91785044760
10729698274
11344994128
1218445b116
13b8239c36
146cca9054
15440dbd69
hex2b7e4fe2

729698274 has 64 divisors (see below), whose sum is σ = 1680000000. Its totient is φ = 234524160.

The previous prime is 729698213. The next prime is 729698297. The reversal of 729698274 is 472896927.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 729698274.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 583602 + ... + 584850.

It is an arithmetic number, because the mean of its divisors is an integer number (26250000).

Almost surely, 2729698274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729698274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840000000).

729698274 is an abundant number, since it is smaller than the sum of its proper divisors (950301726).

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

729698274 is a wasteful number, since it uses less digits than its factorization.

729698274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1634 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 729698274 is about 27012.9279049865. The cubic root of 729698274 is about 900.2872638563.

It can be divided in two parts, 7296 and 98274, that added together give a triangular number (105570 = T459).

The spelling of 729698274 in words is "seven hundred twenty-nine million, six hundred ninety-eight thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 349 558 698 837 1047 1249 1674 2094 2498 3141 3747 6282 7494 9423 10819 11241 18846 21638 22482 32457 33723 38719 64914 67446 77438 97371 116157 194742 232314 292113 348471 435901 584226 696942 871802 1045413 1307703 2090826 2615406 3923109 7846218 11769327 13512931 23538654 27025862 40538793 81077586 121616379 243232758 364849137 729698274