Search a number
-
+
741664088 = 2311193141349
BaseRepresentation
bin101100001101001…
…110010101011000
31220200120102212022
4230031032111120
53004331222323
6201332234012
724244016654
oct5415162530
91820512768
10741664088
11350717230
1218846b908
13ba8694b9
1470701a64
15451a24c8
hex2c34e558

741664088 has 128 divisors (see below), whose sum is σ = 1693440000. Its totient is φ = 300672000.

The previous prime is 741664081. The next prime is 741664093. The reversal of 741664088 is 880466147.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (741664081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2124938 + ... + 2125286.

It is an arithmetic number, because the mean of its divisors is an integer number (13230000).

Almost surely, 2741664088 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 741664088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846720000).

741664088 is an abundant number, since it is smaller than the sum of its proper divisors (951775912).

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

741664088 is a wasteful number, since it uses less digits than its factorization.

741664088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 741664088 is about 27233.5103870214. The cubic root of 741664088 is about 905.1816686058.

The spelling of 741664088 in words is "seven hundred forty-one million, six hundred sixty-four thousand, eighty-eight".

Divisors: 1 2 4 8 11 19 22 31 38 41 44 62 76 82 88 124 152 164 209 248 328 341 349 418 451 589 682 698 779 836 902 1178 1271 1364 1396 1558 1672 1804 2356 2542 2728 2792 3116 3608 3839 4712 5084 6232 6479 6631 7678 8569 10168 10819 12958 13262 13981 14309 15356 17138 21638 24149 25916 26524 27962 28618 30712 34276 43276 48298 51832 53048 55924 57236 68552 72941 86552 96596 111848 114472 119009 145882 157399 193192 205561 238018 265639 271871 291764 314798 411122 443579 476036 531278 543742 583528 629596 822244 887158 952072 1062556 1087484 1259192 1644488 1774316 2125112 2174968 2261171 2990581 3548632 4522342 4879369 5981162 8428001 9044684 9758738 11962324 16856002 18089368 19517476 23924648 33712004 39034952 67424008 92708011 185416022 370832044 741664088