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741781404 = 223273134621
BaseRepresentation
bin101100001101101…
…010111110011100
31220200210101210100
4230031222332130
53004344001104
6201334541100
724245016000
oct5415527634
91820711710
10741781404
11350797391
12188507790
13ba8aaa10
1470732700
15451c7139
hex2c36af9c

741781404 has 144 divisors (see below), whose sum is σ = 2355371200. Its totient is φ = 195592320.

The previous prime is 741781387. The next prime is 741781409. The reversal of 741781404 is 404187147.

It is a super-2 number, since 2×7417814042 = 1100479302640422432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (741781409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158214 + ... + 162834.

Almost surely, 2741781404 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 741781404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177685600).

741781404 is an abundant number, since it is smaller than the sum of its proper divisors (1613589796).

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

741781404 is a wasteful number, since it uses less digits than its factorization.

741781404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4665 (or 4646 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 741781404 is about 27235.6641923783. The cubic root of 741781404 is about 905.2293931286.

The spelling of 741781404 in words is "seven hundred forty-one million, seven hundred eighty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 343 364 441 468 546 588 637 686 819 882 1029 1092 1274 1372 1638 1764 1911 2058 2548 3087 3276 3822 4116 4459 4621 5733 6174 7644 8918 9242 11466 12348 13377 13863 17836 18484 22932 26754 27726 32347 40131 41589 53508 55452 60073 64694 80262 83178 97041 120146 129388 160524 166356 180219 194082 226429 240292 291123 360438 388164 420511 452858 540657 582246 679287 720876 841022 905716 1081314 1164492 1261533 1358574 1585003 1682044 2037861 2162628 2523066 2717148 2943577 3170006 3784599 4075722 4755009 5046132 5887154 6340012 7569198 8151444 8830731 9510018 11774308 14265027 15138396 17661462 19020036 20605039 26492193 28530054 35322924 41210078 52984386 57060108 61815117 82420156 105968772 123630234 185445351 247260468 370890702 741781404